diff --git a/crates/polars-time/src/windows/duration.rs b/crates/polars-time/src/windows/duration.rs
index 56ce3e4bdcd5..da78e74afba3 100644
--- a/crates/polars-time/src/windows/duration.rs
+++ b/crates/polars-time/src/windows/duration.rs
@@ -1055,7 +1055,7 @@ pub fn ensure_duration_matches_dtype(
                 InvalidOperation: "`{}` duration may not be a parsed integer (i.e. use '2d', not '2i') when working with a temporal column", variable_name);
         },
         _ => {
-            polars_bail!(InvalidOperation: "unsupported data type: {} for `{}`, expected UInt64, UInt32, Int64, Int32, Datetime, Date, Duration, or Time", dtype, variable_name)
+            polars_bail!(InvalidOperation: "unsupported data type: {} for temporal/index column, expected UInt64, UInt32, Int64, Int32, Datetime, Date, Duration, or Time", dtype)
         },
     }
     Ok(())
diff --git a/py-polars/tests/unit/operations/rolling/test_rolling.py b/py-polars/tests/unit/operations/rolling/test_rolling.py
index 348fdae395c5..624d0923f25e 100644
--- a/py-polars/tests/unit/operations/rolling/test_rolling.py
+++ b/py-polars/tests/unit/operations/rolling/test_rolling.py
@@ -233,7 +233,7 @@ def test_rolling_by_invalid() -> None:
     df = pl.DataFrame(
         {"a": [1, 2, 3], "b": [4, 5, 6]}, schema_overrides={"a": pl.Int16}
     ).sort("a")
-    msg = "unsupported data type: i16 for `window_size`, expected UInt64, UInt32, Int64, Int32, Datetime, Date, Duration, or Time"
+    msg = "unsupported data type: i16 for temporal/index column, expected UInt64, UInt32, Int64, Int32, Datetime, Date, Duration, or Time"
     with pytest.raises(InvalidOperationError, match=msg):
         df.select(pl.col("b").rolling_min_by("a", "2i"))
     df = pl.DataFrame({"a": [1, 2, 3], "b": [date(2020, 1, 1)] * 3}).sort("b")