diff --git a/pandas/tests/groupby/test_groupby.py b/pandas/tests/groupby/test_groupby.py
index 24a550b4602a6..9b260d5757767 100644
--- a/pandas/tests/groupby/test_groupby.py
+++ b/pandas/tests/groupby/test_groupby.py
@@ -3159,29 +3159,3 @@ def test_groupby_series_with_datetimeindex_month_name():
     expected = Series([2, 1], name="jan")
     expected.index.name = "jan"
     tm.assert_series_equal(result, expected)
-
-
-def test_rolling_corr_grouping_column_contains_tuples_1(df):
-    # GH 44078
-    df = DataFrame({"a": [(1,), (1,), (1,)], "b": [4, 5, 6]})
-    gb = df.groupby(["a"])
-    result = gb.rolling(2).corr(other=df)
-    index = MultiIndex.from_tuples([((1,), 0), ((1,), 1), ((1,), 2)], names=["a", None])
-    expected = DataFrame(
-        {"a": [np.nan, np.nan, np.nan], "b": [np.nan, 1.0, 1.0]}, index=index
-    )
-    tm.assert_frame_equal(result, expected)
-
-
-def test_rolling_corr_case_grrouping_column_contains_tuples_2(df):
-    # GH 44078
-    df = DataFrame({"a": [(1, 2), (1, 2), (1, 2)], "b": [4, 5, 6]})
-    gb = df.groupby(["a"])
-    result = gb.rolling(2).corr(other=df)
-    index = MultiIndex.from_tuples(
-        [((1, 2), 0), ((1, 2), 1), ((1, 2), 2)], names=["a", None]
-    )
-    expected = DataFrame(
-        {"a": [np.nan, np.nan, np.nan], "b": [np.nan, 1.0, 1.0]}, index=index
-    )
-    tm.assert_frame_equal(result, expected)
diff --git a/pandas/tests/window/test_groupby.py b/pandas/tests/window/test_groupby.py
index eb4fc06aa523e..ab00e18fc4812 100644
--- a/pandas/tests/window/test_groupby.py
+++ b/pandas/tests/window/test_groupby.py
@@ -1230,3 +1230,47 @@ def test_dont_mutate_obj_after_slicing(self):
         # This is the key test
         result = grp.count()
         tm.assert_frame_equal(result, expected_df)
+
+
+def test_rolling_corr_with_single_integer_in_index():
+    # GH 44078
+    df = DataFrame({"a": [(1,), (1,), (1,)], "b": [4, 5, 6]})
+    gb = df.groupby(["a"])
+    result = gb.rolling(2).corr(other=df)
+    index = MultiIndex.from_tuples([((1,), 0), ((1,), 1), ((1,), 2)], names=["a", None])
+    expected = DataFrame(
+        {"a": [np.nan, np.nan, np.nan], "b": [np.nan, 1.0, 1.0]}, index=index
+    )
+    tm.assert_frame_equal(result, expected)
+
+
+def test_rolling_corr_with_tuples_in_index():
+    # GH 44078
+    df = DataFrame(
+        {
+            "a": [
+                (
+                    1,
+                    2,
+                ),
+                (
+                    1,
+                    2,
+                ),
+                (
+                    1,
+                    2,
+                ),
+            ],
+            "b": [4, 5, 6],
+        }
+    )
+    gb = df.groupby(["a"])
+    result = gb.rolling(2).corr(other=df)
+    index = MultiIndex.from_tuples(
+        [((1, 2), 0), ((1, 2), 1), ((1, 2), 2)], names=["a", None]
+    )
+    expected = DataFrame(
+        {"a": [np.nan, np.nan, np.nan], "b": [np.nan, 1.0, 1.0]}, index=index
+    )
+    tm.assert_frame_equal(result, expected)