diff --git a/pandas/tests/series/methods/test_sort_index.py b/pandas/tests/series/methods/test_sort_index.py
index d4ebc9062a0c9..2d4fdfd5a3950 100644
--- a/pandas/tests/series/methods/test_sort_index.py
+++ b/pandas/tests/series/methods/test_sort_index.py
@@ -8,6 +8,10 @@
 
 
 class TestSeriesSortIndex:
+    def test_sort_index_name(self, datetime_series):
+        result = datetime_series.sort_index(ascending=False)
+        assert result.name == datetime_series.name
+
     def test_sort_index(self, datetime_series):
         rindex = list(datetime_series.index)
         random.shuffle(rindex)
diff --git a/pandas/tests/series/test_api.py b/pandas/tests/series/test_api.py
index 3e877cf2fc787..302ca8d1aa43e 100644
--- a/pandas/tests/series/test_api.py
+++ b/pandas/tests/series/test_api.py
@@ -110,10 +110,6 @@ def _pickle_roundtrip(self, obj):
             unpickled = pd.read_pickle(path)
             return unpickled
 
-    def test_sort_index_name(self, datetime_series):
-        result = datetime_series.sort_index(ascending=False)
-        assert result.name == datetime_series.name
-
     def test_constructor_dict(self):
         d = {"a": 0.0, "b": 1.0, "c": 2.0}
         result = Series(d)