diff --git a/xarray/tests/test_dataarray.py b/xarray/tests/test_dataarray.py
index cc88ccf0708..8c9d13d8596 100644
--- a/xarray/tests/test_dataarray.py
+++ b/xarray/tests/test_dataarray.py
@@ -3839,7 +3839,7 @@ def test_to_dataset_coord_value_is_dim(self) -> None:
             match=(
                 re.escape("dimension 'x' would produce the variables ('a',)")
                 + ".*"
-                + re.escape("rename(a=...) or assign_coords(x=...)")
+                + re.escape("DataArray.rename(a=...) or DataArray.assign_coords(x=...)")
             ),
         ):
             array.to_dataset("x")
@@ -3860,7 +3860,9 @@ def test_to_dataset_coord_value_is_dim(self) -> None:
             match=(
                 re.escape("dimension 'x' would produce the variables ('a', 'b')")
                 + ".*"
-                + re.escape("rename(a=..., b=...) or assign_coords(x=...)")
+                + re.escape(
+                    "DataArray.rename(a=..., b=...) or DataArray.assign_coords(x=...)"
+                )
             ),
         ):
             array2.to_dataset("x")