diff --git a/pandas/tests/indexes/test_common.py b/pandas/tests/indexes/test_common.py
index d8e17e48a19b3..23677d77a5273 100644
--- a/pandas/tests/indexes/test_common.py
+++ b/pandas/tests/indexes/test_common.py
@@ -448,8 +448,15 @@ def test_hasnans_isnans(self, index_flat):
 
 @pytest.mark.parametrize("na_position", [None, "middle"])
 def test_sort_values_invalid_na_position(index_with_missing, na_position):
+    dtype = index_with_missing.dtype
+    warning = (
+        PerformanceWarning
+        if dtype.name == "string" and dtype.storage == "pyarrow"
+        else None
+    )
     with pytest.raises(ValueError, match=f"invalid na_position: {na_position}"):
-        index_with_missing.sort_values(na_position=na_position)
+        with tm.assert_produces_warning(warning):
+            index_with_missing.sort_values(na_position=na_position)
 
 
 @pytest.mark.parametrize("na_position", ["first", "last"])