diff --git a/src/provider/provider_file_memory.c b/src/provider/provider_file_memory.c
index 5cc377f32..12a923322 100644
--- a/src/provider/provider_file_memory.c
+++ b/src/provider/provider_file_memory.c
@@ -429,6 +429,8 @@ static umf_result_t file_alloc_aligned(file_memory_provider_t *file_provider,
         return UMF_RESULT_ERROR_UNKNOWN;
     }
 
+    assert(file_provider->offset_mmap <= file_provider->size_mmap);
+
     if (file_provider->size_mmap - file_provider->offset_mmap < size) {
         umf_result = file_mmap_aligned(file_provider, size, alignment);
         if (umf_result != UMF_RESULT_SUCCESS) {
@@ -454,7 +456,8 @@ static umf_result_t file_alloc_aligned(file_memory_provider_t *file_provider,
     size_t new_offset_fd =
         file_provider->offset_fd + new_offset_mmap - file_provider->offset_mmap;
 
-    if (file_provider->size_mmap - new_offset_mmap < size) {
+    // new_offset_mmap can be greater than file_provider->size_mmap
+    if (file_provider->size_mmap < size + new_offset_mmap) {
         umf_result = file_mmap_aligned(file_provider, size, alignment);
         if (umf_result != UMF_RESULT_SUCCESS) {
             utils_mutex_unlock(&file_provider->lock);
diff --git a/test/poolFixtures.hpp b/test/poolFixtures.hpp
index de5a54685..5f39e021d 100644
--- a/test/poolFixtures.hpp
+++ b/test/poolFixtures.hpp
@@ -136,7 +136,8 @@ TEST_P(umfPoolTest, allocFree) {
     auto *ptr = umfPoolMalloc(pool.get(), allocSize);
     ASSERT_NE(ptr, nullptr);
     std::memset(ptr, 0, allocSize);
-    umfPoolFree(pool.get(), ptr);
+    umf_result_t umf_result = umfPoolFree(pool.get(), ptr);
+    ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
 }
 
 TEST_P(umfPoolTest, allocFreeNonAlignedSizes) {
@@ -144,10 +145,33 @@ TEST_P(umfPoolTest, allocFreeNonAlignedSizes) {
         auto *ptr = umfPoolMalloc(pool.get(), allocSize);
         ASSERT_NE(ptr, nullptr);
         std::memset(ptr, 0, allocSize);
-        umfPoolFree(pool.get(), ptr);
+        umf_result_t umf_result = umfPoolFree(pool.get(), ptr);
+        ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
     }
 }
 
+TEST_P(umfPoolTest, allocFreeAligned) {
+// ::aligned_alloc(alignment=4096, size=1) does not work under sanitizers for unknown reason
+#if defined(_WIN32) || defined(__SANITIZE_ADDRESS__) ||                        \
+    defined(__SANITIZE_THREAD__)
+    // TODO: implement support for windows
+    GTEST_SKIP();
+#else
+    if (!umf_test::isAlignedAllocSupported(pool.get())) {
+        GTEST_SKIP();
+    }
+
+    size_t alignment = 4 * 1024; // 4kB
+    void *ptr = umfPoolAlignedMalloc(pool.get(), 1, alignment);
+    ASSERT_NE(ptr, nullptr);
+    ASSERT_TRUE(reinterpret_cast<uintptr_t>(ptr) % alignment == 0);
+    *(reinterpret_cast<unsigned char *>(ptr)) = (unsigned char)0xFF;
+
+    umf_result_t umf_result = umfPoolFree(pool.get(), ptr);
+    ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
+#endif
+}
+
 TEST_P(umfPoolTest, reallocFree) {
     if (!umf_test::isReallocSupported(pool.get())) {
         GTEST_SKIP();
@@ -160,7 +184,8 @@ TEST_P(umfPoolTest, reallocFree) {
     auto *new_ptr = umfPoolRealloc(pool.get(), ptr, allocSize * multiplier);
     ASSERT_NE(new_ptr, nullptr);
     std::memset(new_ptr, 0, allocSize * multiplier);
-    umfPoolFree(pool.get(), new_ptr);
+    umf_result_t umf_result = umfPoolFree(pool.get(), new_ptr);
+    ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
 }
 
 TEST_P(umfPoolTest, callocFree) {
@@ -174,7 +199,8 @@ TEST_P(umfPoolTest, callocFree) {
     for (size_t i = 0; i < num; ++i) {
         ASSERT_EQ(((int *)ptr)[i], 0);
     }
-    umfPoolFree(pool.get(), ptr);
+    umf_result_t umf_result = umfPoolFree(pool.get(), ptr);
+    ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
 }
 
 void pow2AlignedAllocHelper(umf_memory_pool_handle_t pool) {
@@ -195,9 +221,31 @@ void pow2AlignedAllocHelper(umf_memory_pool_handle_t pool) {
         }
 
         for (auto &ptr : allocs) {
-            umfPoolFree(pool, ptr);
+            umf_result_t umf_result = umfPoolFree(pool, ptr);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         }
     }
+
+// ::aligned_alloc(alignment=4096, size=1) does not work under sanitizers for unknown reason
+#if !defined(__SANITIZE_ADDRESS__) && !defined(__SANITIZE_THREAD__)
+    // the same for size = 1
+    for (size_t alignment = 1; alignment <= maxAlignment; alignment <<= 1) {
+        std::vector<void *> allocs;
+
+        for (size_t alloc = 0; alloc < numAllocs; alloc++) {
+            auto *ptr = umfPoolAlignedMalloc(pool, 1, alignment);
+            ASSERT_NE(ptr, nullptr);
+            ASSERT_TRUE(reinterpret_cast<uintptr_t>(ptr) % alignment == 0);
+            *(reinterpret_cast<unsigned char *>(ptr)) = (unsigned char)0xFF;
+            allocs.push_back(ptr);
+        }
+
+        for (auto &ptr : allocs) {
+            umf_result_t umf_result = umfPoolFree(pool, ptr);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
+        }
+    }
+#endif
 }
 
 TEST_P(umfPoolTest, pow2AlignedAlloc) {
@@ -227,7 +275,8 @@ TEST_P(umfPoolTest, multiThreadedMallocFree) {
         }
 
         for (auto allocation : allocations) {
-            umfPoolFree(inPool, allocation);
+            umf_result_t umf_result = umfPoolFree(inPool, allocation);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         }
     };
 
@@ -280,7 +329,8 @@ TEST_P(umfPoolTest, multiThreadedReallocFree) {
         for (auto allocation : allocations) {
             auto *ptr =
                 umfPoolRealloc(inPool, allocation, allocSize * multiplier);
-            umfPoolFree(inPool, ptr);
+            umf_result_t umf_result = umfPoolFree(inPool, ptr);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         }
     };
 
@@ -310,7 +360,8 @@ TEST_P(umfPoolTest, multiThreadedCallocFree) {
         }
 
         for (auto allocation : allocations) {
-            umfPoolFree(inPool, allocation);
+            umf_result_t umf_result = umfPoolFree(inPool, allocation);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         }
     };
 
@@ -335,7 +386,8 @@ TEST_P(umfPoolTest, multiThreadedMallocFreeRandomSizes) {
         }
 
         for (auto allocation : allocations) {
-            umfPoolFree(inPool, allocation);
+            umf_result_t umf_result = umfPoolFree(inPool, allocation);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         }
     };
 
@@ -375,7 +427,8 @@ TEST_P(umfMemTest, outOfMem) {
     ASSERT_NE(allocations.back(), nullptr);
 
     for (int i = 0; i < expectedRecycledPoolAllocs; i++) {
-        umfPoolFree(hPool, allocations.back());
+        umf_result_t umf_result = umfPoolFree(hPool, allocations.back());
+        ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         allocations.pop_back();
     }
 
@@ -385,7 +438,8 @@ TEST_P(umfMemTest, outOfMem) {
     }
 
     for (auto allocation : allocations) {
-        umfPoolFree(hPool, allocation);
+        umf_result_t umf_result = umfPoolFree(hPool, allocation);
+        ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
     }
 }
 
@@ -490,7 +544,8 @@ TEST_P(umfPoolTest, mallocUsableSize) {
             // Make sure we can write to this memory
             memset(ptr, 123, result);
 
-            umfPoolFree(pool.get(), ptr);
+            umf_result_t umf_result = umfPoolFree(pool.get(), ptr);
+            ASSERT_EQ(umf_result, UMF_RESULT_SUCCESS);
         }
     }
 }