diff --git a/pandas/tests/arithmetic/test_datetime64.py b/pandas/tests/arithmetic/test_datetime64.py
index b3f4d5f5d9ee5..5dfaea7c77420 100644
--- a/pandas/tests/arithmetic/test_datetime64.py
+++ b/pandas/tests/arithmetic/test_datetime64.py
@@ -1046,6 +1046,7 @@ def test_dt64arr_add_sub_invalid(self, dti_freq, other, box_with_array):
                 "cannot (add|subtract)",
                 "cannot use operands with types",
                 "ufunc '?(add|subtract)'? cannot use operands with types",
+                "Concatenation operation is not implemented for NumPy arrays",
             ]
         )
         assert_invalid_addsub_type(dtarr, other, msg)
diff --git a/pandas/tests/arithmetic/test_numeric.py b/pandas/tests/arithmetic/test_numeric.py
index a37339c66bf6e..2155846b271fc 100644
--- a/pandas/tests/arithmetic/test_numeric.py
+++ b/pandas/tests/arithmetic/test_numeric.py
@@ -234,7 +234,8 @@ def test_add_sub_timedeltalike_invalid(self, numeric_idx, other, box):
             "unsupported operand type|"
             "Addition/subtraction of integers and integer-arrays|"
             "Instead of adding/subtracting|"
-            "cannot use operands with types dtype"
+            "cannot use operands with types dtype|"
+            "Concatenation operation is not implemented for NumPy arrays"
         )
         with pytest.raises(TypeError, match=msg):
             left + other
@@ -263,7 +264,8 @@ def test_add_sub_datetimelike_invalid(self, numeric_idx, other, box):
         msg = (
             "unsupported operand type|"
             "Cannot (add|subtract) NaT (to|from) ndarray|"
-            "Addition/subtraction of integers and integer-arrays"
+            "Addition/subtraction of integers and integer-arrays|"
+            "Concatenation operation is not implemented for NumPy arrays"
         )
         with pytest.raises(TypeError, match=msg):
             left + other
diff --git a/pandas/tests/arithmetic/test_period.py b/pandas/tests/arithmetic/test_period.py
index 6c7b989bb9f2e..930435074efc1 100644
--- a/pandas/tests/arithmetic/test_period.py
+++ b/pandas/tests/arithmetic/test_period.py
@@ -682,7 +682,11 @@ def test_parr_add_sub_float_raises(self, op, other, box_with_array):
         dti = pd.DatetimeIndex(["2011-01-01", "2011-01-02"], freq="D")
         pi = dti.to_period("D")
         pi = tm.box_expected(pi, box_with_array)
-        msg = r"unsupported operand type\(s\) for [+-]: .* and .*"
+        msg = (
+            r"unsupported operand type\(s\) for [+-]: .* and .*|"
+            "Concatenation operation is not implemented for NumPy arrays"
+        )
+
         with pytest.raises(TypeError, match=msg):
             op(pi, other)
 
diff --git a/pandas/tests/scalar/timedelta/test_arithmetic.py b/pandas/tests/scalar/timedelta/test_arithmetic.py
index 2114962cfc0bd..cb33f99d9bd91 100644
--- a/pandas/tests/scalar/timedelta/test_arithmetic.py
+++ b/pandas/tests/scalar/timedelta/test_arithmetic.py
@@ -263,7 +263,10 @@ def test_ops_ndarray(self):
         msg = r"unsupported operand type\(s\) for \+: 'Timedelta' and 'int'"
         with pytest.raises(TypeError, match=msg):
             td + np.array([1])
-        msg = r"unsupported operand type\(s\) for \+: 'numpy.ndarray' and 'Timedelta'"
+        msg = (
+            r"unsupported operand type\(s\) for \+: 'numpy.ndarray' and 'Timedelta'|"
+            "Concatenation operation is not implemented for NumPy arrays"
+        )
         with pytest.raises(TypeError, match=msg):
             np.array([1]) + td