diff --git a/tests/system/small/ml/conftest.py b/tests/system/small/ml/conftest.py
index c9100f36f3..33351afe45 100644
--- a/tests/system/small/ml/conftest.py
+++ b/tests/system/small/ml/conftest.py
@@ -47,12 +47,11 @@ def penguins_bqml_linear_model(session, penguins_linear_model_name) -> core.Bqml
 
 @pytest.fixture(scope="function")
 def ephemera_penguins_bqml_linear_model(
-    penguins_bqml_linear_model,
+    session: bigframes.Session,
+    penguins_bqml_linear_model: core.BqmlModel,
 ) -> core.BqmlModel:
     model = penguins_bqml_linear_model
-    return model.copy(
-        f"{model._model.project}.{model._model.dataset_id}.{uuid.uuid4().hex}"
-    )
+    return model.copy(f"{session._anonymous_dataset}.{uuid.uuid4().hex}")
 
 
 @pytest.fixture(scope="session")