diff --git a/test/test_model.py b/test/test_model.py
index deea21767..53791baef 100644
--- a/test/test_model.py
+++ b/test/test_model.py
@@ -304,6 +304,7 @@ def test_model_factory_invalid_model():
 @pytest.mark.parametrize(
     "name, expected_cls",
     [
+        ("trivial", model.TrivialModel),
         ("avg", model.ExpectationModel),
         ("average", model.ExpectationModel),
         ("mean", model.ExpectationModel),
@@ -318,6 +319,14 @@ def test_factory_variants(name, expected_cls, setup_random_base_data):
         motion_affines=motion_affines,
         datahdr=datahdr,
     )
+    if name == "trivial":
+        # ToDo
+        # Does not work because BaseDataset does not have a reference property
+        # ToDo
+        # Test the bzero case
+        # ToDo
+        # Test the predicted case
+        setattr(dataset, "reference", np.zeros(dataobj.shape[:3]))
     model_instance = model.ModelFactory.init(name, dataset=dataset)
     assert isinstance(model_instance, expected_cls)