diff --git a/pandas/tests/extension/base/methods.py b/pandas/tests/extension/base/methods.py
index 7807ef366d280..dea43e53ffc40 100644
--- a/pandas/tests/extension/base/methods.py
+++ b/pandas/tests/extension/base/methods.py
@@ -345,13 +345,24 @@ def test_combine_add(self, data_repeated):
         orig_data1, orig_data2 = data_repeated(2)
         s1 = pd.Series(orig_data1)
         s2 = pd.Series(orig_data2)
-        result = s1.combine(s2, lambda x1, x2: x1 + x2)
-        with np.errstate(over="ignore"):
-            expected = pd.Series(
-                orig_data1._from_sequence(
-                    [a + b for (a, b) in zip(list(orig_data1), list(orig_data2))]
+
+        # Check if the operation is supported pointwise for our scalars. If not,
+        #  we will expect Series.combine to raise as well.
+        try:
+            with np.errstate(over="ignore"):
+                expected = pd.Series(
+                    orig_data1._from_sequence(
+                        [a + b for (a, b) in zip(list(orig_data1), list(orig_data2))]
+                    )
                 )
-            )
+        except TypeError:
+            # If the operation is not supported pointwise for our scalars,
+            #  then Series.combine should also raise
+            with pytest.raises(TypeError):
+                s1.combine(s2, lambda x1, x2: x1 + x2)
+            return
+
+        result = s1.combine(s2, lambda x1, x2: x1 + x2)
         tm.assert_series_equal(result, expected)
 
         val = s1.iloc[0]
diff --git a/pandas/tests/extension/json/test_json.py b/pandas/tests/extension/json/test_json.py
index 0c9abd45a51a5..b3967d33d7c1a 100644
--- a/pandas/tests/extension/json/test_json.py
+++ b/pandas/tests/extension/json/test_json.py
@@ -209,10 +209,6 @@ def test_sort_values_missing(
     def test_combine_le(self, data_repeated):
         super().test_combine_le(data_repeated)
 
-    @pytest.mark.xfail(reason="combine for JSONArray not supported")
-    def test_combine_add(self, data_repeated):
-        super().test_combine_add(data_repeated)
-
     @pytest.mark.xfail(
         reason="combine for JSONArray not supported - "
         "may pass depending on random data",
diff --git a/pandas/tests/extension/test_arrow.py b/pandas/tests/extension/test_arrow.py
index 2438626cf0347..d945d7d495f22 100644
--- a/pandas/tests/extension/test_arrow.py
+++ b/pandas/tests/extension/test_arrow.py
@@ -821,19 +821,6 @@ def test_argreduce_series(
 
     _combine_le_expected_dtype = "bool[pyarrow]"
 
-    def test_combine_add(self, data_repeated, request):
-        pa_dtype = next(data_repeated(1)).dtype.pyarrow_dtype
-        if pa.types.is_temporal(pa_dtype) and not pa.types.is_duration(pa_dtype):
-            # analogous to datetime64, these cannot be added
-            orig_data1, orig_data2 = data_repeated(2)
-            s1 = pd.Series(orig_data1)
-            s2 = pd.Series(orig_data2)
-            with pytest.raises(TypeError):
-                s1.combine(s2, lambda x1, x2: x1 + x2)
-
-        else:
-            super().test_combine_add(data_repeated)
-
 
 class TestBaseArithmeticOps(base.BaseArithmeticOpsTests):
     divmod_exc = NotImplementedError
diff --git a/pandas/tests/extension/test_datetime.py b/pandas/tests/extension/test_datetime.py
index ab21f768e6521..654838ea11b67 100644
--- a/pandas/tests/extension/test_datetime.py
+++ b/pandas/tests/extension/test_datetime.py
@@ -113,10 +113,6 @@ class TestIndex(base.BaseIndexTests):
 
 
 class TestMethods(BaseDatetimeTests, base.BaseMethodsTests):
-    def test_combine_add(self, data_repeated):
-        # Timestamp.__add__(Timestamp) not defined
-        pass
-
     @pytest.mark.parametrize("na_action", [None, "ignore"])
     def test_map(self, data, na_action):
         result = data.map(lambda x: x, na_action=na_action)
diff --git a/pandas/tests/extension/test_interval.py b/pandas/tests/extension/test_interval.py
index 4ef303289ee5c..53835dfb45331 100644
--- a/pandas/tests/extension/test_interval.py
+++ b/pandas/tests/extension/test_interval.py
@@ -121,10 +121,6 @@ def test_reduce_series_numeric(self, data, all_numeric_reductions, skipna):
 
 
 class TestMethods(BaseInterval, base.BaseMethodsTests):
-    @pytest.mark.xfail(reason="addition is not defined for intervals")
-    def test_combine_add(self, data_repeated):
-        super().test_combine_add(data_repeated)
-
     @pytest.mark.xfail(
         reason="Raises with incorrect message bc it disallows *all* listlikes "
         "instead of just wrong-length listlikes"
diff --git a/pandas/tests/extension/test_period.py b/pandas/tests/extension/test_period.py
index 7b6bc98ee8c05..9ef838f1988f5 100644
--- a/pandas/tests/extension/test_period.py
+++ b/pandas/tests/extension/test_period.py
@@ -93,10 +93,6 @@ class TestIndex(base.BaseIndexTests):
 
 
 class TestMethods(BasePeriodTests, base.BaseMethodsTests):
-    def test_combine_add(self, data_repeated):
-        # Period + Period is not defined.
-        pass
-
     @pytest.mark.parametrize("periods", [1, -2])
     def test_diff(self, data, periods):
         if is_platform_windows() and np_version_gte1p24: