diff --git a/tests/test_frame.py b/tests/test_frame.py
index 5ebed2bc2..6bbe7e3b7 100644
--- a/tests/test_frame.py
+++ b/tests/test_frame.py
@@ -2550,11 +2550,16 @@ def test_types_rename() -> None:
     # Apparently all of these calls are accepted by pandas
     check(assert_type(df.rename(columns={None: "b"}), pd.DataFrame), pd.DataFrame)
     check(assert_type(df.rename(columns={"": "b"}), pd.DataFrame), pd.DataFrame)
-    check(assert_type(df.rename(columns={(2, 1): "b"}), pd.DataFrame), pd.DataFrame)
     check(
         assert_type(df.rename(columns=lambda s: s.upper()), pd.DataFrame), pd.DataFrame
     )
 
+    df_multiindex = pd.DataFrame(columns=[("a", 1), ("a", 2)])
+    check(
+        assert_type(df_multiindex.rename(columns={(1, 2): ("b", "a")}), pd.DataFrame),
+        pd.DataFrame,
+    )
+
 
 def test_types_rename_axis() -> None:
     df = pd.DataFrame({"col_name": [1, 2, 3]})