diff --git a/pandas/tests/frame/test_arithmetic.py b/pandas/tests/frame/test_arithmetic.py
index a9a98a5005bb3..5e50759d34014 100644
--- a/pandas/tests/frame/test_arithmetic.py
+++ b/pandas/tests/frame/test_arithmetic.py
@@ -11,6 +11,8 @@
 import numpy as np
 import pytest
 
+from pandas.compat._optional import import_optional_dependency
+
 import pandas as pd
 from pandas import (
     DataFrame,
@@ -24,6 +26,7 @@
     _check_mixed_float,
     _check_mixed_int,
 )
+from pandas.util.version import Version
 
 
 @pytest.fixture
@@ -1114,6 +1117,8 @@ def test_binop_other(self, op, value, dtype, switch_numexpr_min_elements):
             (operator.mod, "complex128"),
         }
 
+        ne = import_optional_dependency("numexpr", errors="ignore")
+        ne_warns_on_op = ne is not None and Version(ne.__version__) < Version("2.13.1")
         if (op, dtype) in invalid:
             warn = None
             if (dtype == "<M8[ns]" and op == operator.add) or (
@@ -1142,7 +1147,11 @@ def test_binop_other(self, op, value, dtype, switch_numexpr_min_elements):
 
         elif (op, dtype) in skip:
             if op in [operator.add, operator.mul]:
-                if expr.USE_NUMEXPR and switch_numexpr_min_elements == 0:
+                if (
+                    expr.USE_NUMEXPR
+                    and switch_numexpr_min_elements == 0
+                    and ne_warns_on_op
+                ):
                     warn = UserWarning
                 else:
                     warn = None
diff --git a/pandas/tests/series/test_arithmetic.py b/pandas/tests/series/test_arithmetic.py
index 35a9742d653db..8b6ab5f18dee1 100644
--- a/pandas/tests/series/test_arithmetic.py
+++ b/pandas/tests/series/test_arithmetic.py
@@ -10,6 +10,7 @@
 import pytest
 
 from pandas._libs import lib
+from pandas.compat._optional import import_optional_dependency
 
 import pandas as pd
 from pandas import (
@@ -25,7 +26,7 @@
 import pandas._testing as tm
 from pandas.core import ops
 from pandas.core.computation import expressions as expr
-from pandas.core.computation.check import NUMEXPR_INSTALLED
+from pandas.util.version import Version
 
 
 @pytest.fixture(autouse=True, params=[0, 1000000], ids=["numexpr", "python"])
@@ -348,9 +349,12 @@ def test_add_list_to_masked_array(self, val, dtype):
 
     def test_add_list_to_masked_array_boolean(self, request):
         # GH#22962
+        ne = import_optional_dependency("numexpr", errors="ignore")
         warning = (
             UserWarning
-            if request.node.callspec.id == "numexpr" and NUMEXPR_INSTALLED
+            if request.node.callspec.id == "numexpr"
+            and ne
+            and Version(ne.__version__) < Version("2.13.1")
             else None
         )
         ser = Series([True, None, False], dtype="boolean")
diff --git a/pandas/tests/test_expressions.py b/pandas/tests/test_expressions.py
index 8f275345a7819..11a87f5e353c6 100644
--- a/pandas/tests/test_expressions.py
+++ b/pandas/tests/test_expressions.py
@@ -4,10 +4,13 @@
 import numpy as np
 import pytest
 
+from pandas.compat._optional import import_optional_dependency
+
 from pandas import option_context
 import pandas._testing as tm
 from pandas.core.api import DataFrame
 from pandas.core.computation import expressions as expr
+from pandas.util.version import Version
 
 
 @pytest.fixture
@@ -340,35 +343,43 @@ def test_bool_ops_warn_on_arithmetic(self, op_str, opname, monkeypatch):
             return
 
         msg = "operator is not supported by numexpr"
+        ne = import_optional_dependency("numexpr", errors="ignore")
+        warning = (
+            UserWarning
+            if ne
+            and op_str in {"+", "*"}
+            and Version(ne.__version__) < Version("2.13.1")
+            else None
+        )
         with monkeypatch.context() as m:
             m.setattr(expr, "_MIN_ELEMENTS", 5)
             with option_context("compute.use_numexpr", True):
-                with tm.assert_produces_warning(UserWarning, match=msg):
+                with tm.assert_produces_warning(warning, match=msg):
                     r = f(df, df)
                     e = fe(df, df)
                     tm.assert_frame_equal(r, e)
 
-                with tm.assert_produces_warning(UserWarning, match=msg):
+                with tm.assert_produces_warning(warning, match=msg):
                     r = f(df.a, df.b)
                     e = fe(df.a, df.b)
                     tm.assert_series_equal(r, e)
 
-                with tm.assert_produces_warning(UserWarning, match=msg):
+                with tm.assert_produces_warning(warning, match=msg):
                     r = f(df.a, True)
                     e = fe(df.a, True)
                     tm.assert_series_equal(r, e)
 
-                with tm.assert_produces_warning(UserWarning, match=msg):
+                with tm.assert_produces_warning(warning, match=msg):
                     r = f(False, df.a)
                     e = fe(False, df.a)
                     tm.assert_series_equal(r, e)
 
-                with tm.assert_produces_warning(UserWarning, match=msg):
+                with tm.assert_produces_warning(warning, match=msg):
                     r = f(False, df)
                     e = fe(False, df)
                     tm.assert_frame_equal(r, e)
 
-                with tm.assert_produces_warning(UserWarning, match=msg):
+                with tm.assert_produces_warning(warning, match=msg):
                     r = f(df, True)
                     e = fe(df, True)
                     tm.assert_frame_equal(r, e)