diff --git a/.github/workflows/conda-package.yml b/.github/workflows/conda-package.yml
index cf455180e18a..8994eb724730 100644
--- a/.github/workflows/conda-package.yml
+++ b/.github/workflows/conda-package.yml
@@ -16,6 +16,7 @@ env:
   CONDA_BUILD_INDEX_ENV_PY_VER: '3.12' # conda does not support python 3.13
   CONDA_BUILD_VERSION: '25.1.1'
   CONDA_INDEX_VERSION: '0.5.0'
+  LATEST_PYTHON: '3.13'
   RERUN_TESTS_ON_FAILURE: 'true'
   RUN_TESTS_MAX_ATTEMPTS: 2
   TEST_ENV_NAME: 'test'
@@ -211,14 +212,19 @@ jobs:
       - name: Run tests
         if: env.RERUN_TESTS_ON_FAILURE != 'true'
         run: |
-          python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+          if [[ ${{ matrix.python }} == ${{ env.LATEST_PYTHON }} ]]; then
+            export DPNP_TEST_ALL_INT_TYPES=1
+            python -m pytest -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+          else
+            python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+          fi
 
       - name: Run tests
         if: env.RERUN_TESTS_ON_FAILURE == 'true'
         id: run_tests_linux
         uses: nick-fields/retry@7152eba30c6575329ac0576536151aca5a72780e # v3.0.0
         with:
-          timeout_minutes: 15
+          timeout_minutes: 25
           max_attempts: ${{ env.RUN_TESTS_MAX_ATTEMPTS }}
           retry_on: any
           command: |
@@ -226,112 +232,12 @@ jobs:
             . $CONDA/etc/profile.d/mamba.sh
             mamba activate ${{ env.TEST_ENV_NAME }}
 
-            python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
-
-  test_linux_all_dtypes:
-    name: Test_All_dtypes
-
-    needs: build
-
-    runs-on: ${{ matrix.os }}
-
-    defaults:
-      run:
-        shell: bash -el {0}
-
-    strategy:
-      fail-fast: false
-      matrix:
-        python: ['3.12']
-        os: [ubuntu-latest]
-
-    env:
-      channel-path: '${{ github.workspace }}/channel/'
-      pkg-path-in-channel: '${{ github.workspace }}/channel/linux-64/'
-      ver-json-path: '${{ github.workspace }}/version.json'
-
-    steps:
-      - name: Download artifact
-        uses: actions/download-artifact@fa0a91b85d4f404e444e00e005971372dc801d16 # v4.1.8
-        with:
-          name: ${{ env.PACKAGE_NAME }} ${{ runner.os }} Python ${{ matrix.python }}
-          path: ${{ env.pkg-path-in-channel }}
-
-      - name: Setup miniconda
-        id: setup_miniconda
-        continue-on-error: true
-        uses: conda-incubator/setup-miniconda@505e6394dae86d6a5c7fbb6e3fb8938e3e863830 # v3.1.1
-        with:
-          miniforge-version: latest
-          use-mamba: 'true'
-          channels: conda-forge
-          conda-remove-defaults: 'true'
-          python-version: ${{ env.CONDA_BUILD_INDEX_ENV_PY_VER}}
-          activate-environment: ${{ env.TEST_ENV_NAME }}
-
-      - name: ReSetup miniconda
-        if: steps.setup_miniconda.outcome == 'failure'
-        uses: conda-incubator/setup-miniconda@505e6394dae86d6a5c7fbb6e3fb8938e3e863830 # v3.1.1
-        with:
-          miniforge-version: latest
-          use-mamba: 'true'
-          channels: conda-forge
-          conda-remove-defaults: 'true'
-          python-version: ${{ env.CONDA_BUILD_INDEX_ENV_PY_VER}}
-          activate-environment: ${{ env.TEST_ENV_NAME }}
-
-      - name: Install conda-index
-        run: |
-          mamba install conda-index=${{ env.CONDA_INDEX_VERSION }}
-
-      - name: Create conda channel
-        run: |
-          python -m conda_index ${{ env.channel-path }}
-
-      - name: Test conda channel
-        run: |
-          conda search ${{ env.PACKAGE_NAME }} -c ${{ env.channel-path }} --override-channels --info --json > ${{ env.ver-json-path }}
-          cat ${{ env.ver-json-path }}
-
-      - name: Get package version
-        run: |
-          export PACKAGE_VERSION=$(python -c "${{ env.VER_SCRIPT1 }} ${{ env.VER_SCRIPT2 }}")
-
-          echo PACKAGE_VERSION=${PACKAGE_VERSION}
-          echo "PACKAGE_VERSION=$PACKAGE_VERSION" >> $GITHUB_ENV
-
-      # conda-index does not support python 3.13
-      - name: Remove conda-index
-        run: mamba remove conda-index
-
-      - name: Install dpnp
-        id: install_dpnp
-        continue-on-error: true
-        run: |
-          mamba install ${{ env.PACKAGE_NAME }}=${{ env.PACKAGE_VERSION }} pytest python=${{ matrix.python }} ${{ env.TEST_CHANNELS }}
-        env:
-          TEST_CHANNELS: '-c ${{ env.channel-path }} ${{ env.CHANNELS }}'
-
-      - name: ReInstall dpnp
-        if: steps.install_dpnp.outcome == 'failure'
-        run: |
-          mamba install ${{ env.PACKAGE_NAME }}=${{ env.PACKAGE_VERSION }} pytest python=${{ matrix.python }} ${{ env.TEST_CHANNELS }}
-        env:
-          TEST_CHANNELS: '-c ${{ env.channel-path }} ${{ env.CHANNELS }}'
-
-      - name: List installed packages
-        run: mamba list
-
-      - name: Smoke test
-        run: |
-          python -c "import dpctl; dpctl.lsplatform()"
-          python -c "import dpnp; print(dpnp.__version__)"
-
-      - name: Run tests for all dtypes
-        env:
-          DPNP_TEST_ALL_INT_TYPES: 1
-        run: |
-          python -m pytest -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+            if [[ ${{ matrix.python }} == ${{ env.LATEST_PYTHON }} ]]; then
+              export DPNP_TEST_ALL_INT_TYPES=1
+              python -m pytest -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+            else
+              python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+            fi
 
   test_windows:
     name: Test
@@ -453,141 +359,28 @@ jobs:
       - name: Run tests
         if: env.RERUN_TESTS_ON_FAILURE != 'true'
         run: |
-          python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+          if (${{ matrix.python }} -eq ${{ env.LATEST_PYTHON }}) {
+            set DPNP_TEST_ALL_INT_TYPES=1
+            python -m pytest -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+          } else {
+            python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+          }
 
       - name: Run tests
         if: env.RERUN_TESTS_ON_FAILURE == 'true'
         id: run_tests_win
         uses: nick-fields/retry@7152eba30c6575329ac0576536151aca5a72780e # v3.0.0
         with:
-          timeout_minutes: 17
+          timeout_minutes: 35
           max_attempts: ${{ env.RUN_TESTS_MAX_ATTEMPTS }}
           retry_on: any
           command: |
-            python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
-
-  test_windows_all_dtypes:
-    name: Test_All_dtypes
-
-    needs: build
-
-    runs-on: ${{ matrix.os }}
-
-    defaults:
-      run:
-        shell: cmd /C CALL {0}
-
-    strategy:
-      fail-fast: false
-      matrix:
-        python: ['3.12']
-        os: [windows-2019]
-
-    env:
-      channel-path: '${{ github.workspace }}\channel\'
-      pkg-path-in-channel: '${{ github.workspace }}\channel\win-64\'
-      ver-json-path: '${{ github.workspace }}\version.json'
-      workdir: '${{ github.workspace }}'
-
-    steps:
-      - name: Download artifact
-        uses: actions/download-artifact@fa0a91b85d4f404e444e00e005971372dc801d16 # v4.1.8
-        with:
-          name: ${{ env.PACKAGE_NAME }} ${{ runner.os }} Python ${{ matrix.python }}
-          path: ${{ env.pkg-path-in-channel }}
-
-      - name: Store a path to package archive
-        run: |
-          @echo on
-
-          set SEARCH_SCRIPT="DIR ${{ env.pkg-path-in-channel }} /s/b | FINDSTR /r "dpnp-.*\.conda""
-          FOR /F "tokens=* USEBACKQ" %%F IN (`%SEARCH_SCRIPT%`) DO (
-            SET FULL_PACKAGE_PATH=%%F
-          )
-          echo FULL_PACKAGE_PATH: %FULL_PACKAGE_PATH%
-          (echo FULL_PACKAGE_PATH=%FULL_PACKAGE_PATH%) >> %GITHUB_ENV%
-
-      - name: Setup miniconda
-        uses: conda-incubator/setup-miniconda@505e6394dae86d6a5c7fbb6e3fb8938e3e863830 # v3.1.1
-        with:
-          miniforge-version: latest
-          use-mamba: 'true'
-          channels: conda-forge
-          conda-remove-defaults: 'true'
-          python-version: ${{ env.CONDA_BUILD_INDEX_ENV_PY_VER}}
-          activate-environment: ${{ env.TEST_ENV_NAME }}
-
-      - name: Store conda paths as envs
-        run: |
-          @echo on
-          (echo CONDA_LIB_PATH=%CONDA_PREFIX%\Library\lib\) >> %GITHUB_ENV%
-          (echo CONDA_LIB_BIN_PATH=%CONDA_PREFIX%\Library\bin\) >> %GITHUB_ENV%
-
-      - name: Install conda-index
-        run: |
-          mamba install conda-index=${{ env.CONDA_INDEX_VERSION }}
-
-      - name: Create conda channel
-        run: |
-          @echo on
-          python -m conda_index ${{ env.channel-path }}
-
-      - name: Test conda channel
-        run: |
-          @echo on
-          conda search ${{ env.PACKAGE_NAME }} -c ${{ env.channel-path }} --override-channels --info --json > ${{ env.ver-json-path }}
-
-      - name: Dump version.json
-        run: more ${{ env.ver-json-path }}
-
-      - name: Get package version
-        run: |
-          @echo on
-          set "SCRIPT=${{ env.VER_SCRIPT1 }} ${{ env.VER_SCRIPT2 }}"
-          FOR /F "tokens=* USEBACKQ" %%F IN (`python -c "%SCRIPT%"`) DO (
-            set PACKAGE_VERSION=%%F
-          )
-          echo PACKAGE_VERSION: %PACKAGE_VERSION%
-          (echo PACKAGE_VERSION=%PACKAGE_VERSION%) >> %GITHUB_ENV%
-
-      # conda-index does not support python 3.13
-      - name: Remove conda-index
-        run: mamba remove conda-index
-
-      - name: Install dpnp
-        run: |
-          @echo on
-          mamba install ${{ env.PACKAGE_NAME }}=${{ env.PACKAGE_VERSION }} pytest python=${{ matrix.python }} ${{ env.TEST_CHANNELS }}
-        env:
-          TEST_CHANNELS: '-c ${{ env.channel-path }} ${{ env.CHANNELS }}'
-          MAMBA_NO_LOW_SPEED_LIMIT: 1
-
-      - name: List installed packages
-        run: mamba list
-
-      - name: Activate OCL CPU RT
-        shell: pwsh
-        run: |
-          $script_path="$env:CONDA_PREFIX\Scripts\set-intel-ocl-icd-registry.ps1"
-          if (Test-Path $script_path) {
-            &$script_path
-          } else {
-            Write-Warning "File $script_path was NOT found!"
-          }
-          # Check the variable assisting OpenCL CPU driver to find TBB DLLs which are not located where it expects them by default
-          $cl_cfg="$env:CONDA_PREFIX\Library\lib\cl.cfg"
-          Get-Content -Tail 5 -Path $cl_cfg
-
-      - name: Smoke test
-        run: |
-          python -c "import dpctl; dpctl.lsplatform()"
-          python -c "import dpnp; print(dpnp.__version__)"
-
-      - name: Run tests for all dtypes
-        env:
-          DPNP_TEST_ALL_INT_TYPES: 1
-        run: |
-          python -m pytest -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+            if ( ${{ matrix.python }} -eq ${{ env.LATEST_PYTHON }} ) {
+              set DPNP_TEST_ALL_INT_TYPES=1
+              python -m pytest -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+            } else {
+              python -m pytest -n auto -ra --pyargs ${{ env.PACKAGE_NAME }}.tests
+            }
 
   upload:
     name: Upload
diff --git a/dpnp/dpnp_utils/dpnp_utils_linearalgebra.py b/dpnp/dpnp_utils/dpnp_utils_linearalgebra.py
index 5767fdd4e52f..8dfc3b5e0ffe 100644
--- a/dpnp/dpnp_utils/dpnp_utils_linearalgebra.py
+++ b/dpnp/dpnp_utils/dpnp_utils_linearalgebra.py
@@ -509,8 +509,8 @@ def _gemm_special_case(x1, x2, res_dtype, call_flag):
     while `gemv` does not.
 
     """
-    # TODO: replace with dpnp.int8 when it is added
-    is_int8 = x1.dtype == numpy.int8 and x2.dtype == numpy.int8
+
+    is_int8 = x1.dtype == dpnp.int8 and x2.dtype == dpnp.int8
     is_int32_or_f32 = res_dtype in [dpnp.int32, dpnp.float32]
     flag = is_int8 and is_int32_or_f32 and call_flag in ["gemm", "gemm_batch"]
 
diff --git a/dpnp/tests/test_indexing.py b/dpnp/tests/test_indexing.py
index 78b0407bf340..1efef172cf6c 100644
--- a/dpnp/tests/test_indexing.py
+++ b/dpnp/tests/test_indexing.py
@@ -473,7 +473,7 @@ def test_input_1d(self, a_dt, indices, ind_dt, ivals, mode):
             b.put(ind, vals, mode=mode)
             ib.put(iind, ivals, mode=mode)
             assert_array_equal(ib, b)
-        elif numpy.issubdtype(ind_dt, numpy.uint64):
+        elif ind_dt == numpy.uint64:
             # For this special case, NumPy raises an error but dpnp works
             assert_raises(TypeError, numpy.put, a, ind, vals, mode=mode)
             assert_raises(TypeError, b.put, ind, vals, mode=mode)
@@ -508,7 +508,7 @@ def test_input_2d(self, a_dt, indices, ind_dt, mode):
         ind = get_abs_array(indices, ind_dt)
         iind = dpnp.array(ind)
 
-        if numpy.issubdtype(ind_dt, numpy.uint64):
+        if ind_dt == numpy.uint64:
             # For this special case, NumPy raises an error but dpnp works
             assert_raises(TypeError, numpy.put, a, ind, vals, mode=mode)
 
@@ -656,7 +656,7 @@ def test_broadcast(self, arr_dt, idx_dt):
         ind = numpy.arange(10, dtype=idx_dt).reshape((1, 2, 5)) % 4
         ia, iind = dpnp.array(a), dpnp.array(ind)
 
-        if numpy.issubdtype(idx_dt, numpy.uint64):
+        if idx_dt == numpy.uint64:
             numpy.put_along_axis(a, ind, 20, axis=1)
             dpnp.put_along_axis(ia, iind, 20, axis=1)
             assert_array_equal(ia, a)
@@ -701,7 +701,7 @@ def test_1d(self, a_dt, ind_dt, indices, mode):
             result = dpnp.take(ia, iind, mode=mode)
             expected = numpy.take(a, ind, mode=mode)
             assert_array_equal(result, expected)
-        elif numpy.issubdtype(ind_dt, numpy.uint64):
+        elif ind_dt == numpy.uint64:
             # For this special case, although casting `ind_dt` to numpy.intp
             # is not safe, both NumPy and dpnp work properly
             # NumPy < "2.2.0" raises an error
@@ -726,7 +726,7 @@ def test_2d(self, a_dt, ind_dt, indices, mode, axis):
         ind = get_abs_array(indices, ind_dt)
         ia, iind = dpnp.array(a), dpnp.array(ind)
 
-        if numpy.issubdtype(ind_dt, numpy.uint64):
+        if ind_dt == numpy.uint64:
             # For this special case, NumPy raises an error on Windows
             result = ia.take(iind, axis=axis, mode=mode)
             expected = a.take(ind.astype(numpy.int64), axis=axis, mode=mode)
@@ -1461,6 +1461,16 @@ def test_choose_inds_all_dtypes(self, dtype):
             chcs = dpnp.ones(1, dtype=dtype)
             with pytest.raises(TypeError):
                 dpnp.choose(inds, chcs)
+        elif dtype == numpy.uint64:
+            # For this special case, NumPy raises an error but dpnp works
+            inds_np = numpy.array([1, 0, 1], dtype=dtype)
+            inds = dpnp.array(inds_np)
+            chcs_np = numpy.array([1, 2, 3], dtype=dtype)
+            chcs = dpnp.array(chcs_np)
+            assert_raises(TypeError, numpy.choose, inds_np, chcs_np)
+            expected = numpy.choose(inds_np.astype(numpy.int64), chcs_np)
+            result = dpnp.choose(inds, chcs)
+            assert_array_equal(expected, result)
         else:
             inds_np = numpy.array([1, 0, 1], dtype=dtype)
             inds = dpnp.array(inds_np)
diff --git a/dpnp/tests/test_linalg.py b/dpnp/tests/test_linalg.py
index 7f1ae77966fa..7e0fb98ea498 100644
--- a/dpnp/tests/test_linalg.py
+++ b/dpnp/tests/test_linalg.py
@@ -2401,10 +2401,10 @@ def test_qr(self, dtype, shape, mode):
                     decimal=5,
                 )
             else:  # mode=="raw"
-                assert_dtype_allclose(dpnp_q, np_q)
+                assert_dtype_allclose(dpnp_q, np_q, factor=24)
 
         if mode in ("raw", "r"):
-            assert_dtype_allclose(dpnp_r, np_r)
+            assert_dtype_allclose(dpnp_r, np_r, factor=24)
 
     @pytest.mark.parametrize("dtype", get_all_dtypes(no_bool=True))
     @pytest.mark.parametrize(
diff --git a/dpnp/tests/test_product.py b/dpnp/tests/test_product.py
index 6629e55aafb2..b7cbfcf61e6d 100644
--- a/dpnp/tests/test_product.py
+++ b/dpnp/tests/test_product.py
@@ -836,7 +836,11 @@ def test_dtype_matrix(self, dt_in1, dt_in2, dt_out, shape1, shape2):
             assert_allclose(result, expected, rtol=1e-5, atol=1e-5)
         else:
             assert_raises(TypeError, dpnp.matmul, ia, ib, dtype=dt_out)
-            assert_raises(TypeError, numpy.matmul, a, b, dtype=dt_out)
+            # If one of the inputs is `uint64`, and dt_out is not unsigned int
+            # NumPy raises TypeError when `out` is provide but not when `dtype`
+            # is provided. dpnp raises TypeError in both cases as expected
+            if a.dtype != numpy.uint64 and b.dtype != numpy.uint64:
+                assert_raises(TypeError, numpy.matmul, a, b, dtype=dt_out)
 
             assert_raises(TypeError, dpnp.matmul, ia, ib, out=iout)
             assert_raises(TypeError, numpy.matmul, a, b, out=out)
@@ -1444,8 +1448,8 @@ def setup_method(self):
         ],
     )
     def test_basic(self, dtype, shape1, shape2):
-        a = generate_random_numpy_array(shape1, dtype)
-        b = generate_random_numpy_array(shape2, dtype)
+        a = generate_random_numpy_array(shape1, dtype, low=-5, high=5)
+        b = generate_random_numpy_array(shape2, dtype, low=-5, high=5)
         ia, ib = dpnp.array(a), dpnp.array(b)
 
         result = dpnp.matvec(ia, ib)
@@ -2170,8 +2174,8 @@ def setup_method(self):
         ],
     )
     def test_basic(self, dtype, shape1, shape2):
-        a = generate_random_numpy_array(shape1, dtype)
-        b = generate_random_numpy_array(shape2, dtype)
+        a = generate_random_numpy_array(shape1, dtype, low=-5, high=5)
+        b = generate_random_numpy_array(shape2, dtype, low=-5, high=5)
         ia, ib = dpnp.array(a), dpnp.array(b)
 
         result = dpnp.vecmat(ia, ib)
diff --git a/dpnp/tests/test_statistics.py b/dpnp/tests/test_statistics.py
index d5d0e72b030d..eb064334378f 100644
--- a/dpnp/tests/test_statistics.py
+++ b/dpnp/tests/test_statistics.py
@@ -219,8 +219,14 @@ def test_correlate(self, a, v, mode, dtype, method):
     @pytest.mark.parametrize("dtype", get_all_dtypes(no_none=True))
     @pytest.mark.parametrize("method", ["auto", "direct", "fft"])
     def test_correlate_random(self, a_size, v_size, mode, dtype, method):
-        an = generate_random_numpy_array(a_size, dtype, probability=0.9)
-        vn = generate_random_numpy_array(v_size, dtype, probability=0.9)
+        if dtype in [numpy.int8, numpy.uint8]:
+            pytest.skip("avoid overflow.")
+        an = generate_random_numpy_array(
+            a_size, dtype, low=-3, high=3, probability=0.9
+        )
+        vn = generate_random_numpy_array(
+            v_size, dtype, low=-3, high=3, probability=0.9
+        )
 
         ad = dpnp.array(an)
         vd = dpnp.array(vn)