diff --git a/tests/explainers/wrappers/test_trak_wrapper.py b/tests/explainers/wrappers/test_trak_wrapper.py
index b3101cc4..bc3acc3f 100644
--- a/tests/explainers/wrappers/test_trak_wrapper.py
+++ b/tests/explainers/wrappers/test_trak_wrapper.py
@@ -37,6 +37,39 @@ def test_trak_wrapper_explain_stateful(
     assert torch.allclose(explanations, explanations_exp), "Training data attributions are not as expected"
 
 
+@pytest.mark.explainers
+@pytest.mark.parametrize(
+    "test_id, model, dataset, test_tensor, test_labels, method_kwargs",
+    [
+        (
+            "mnist",
+            "load_mnist_model",
+            "load_mnist_dataset",
+            "load_mnist_test_samples_1",
+            "load_mnist_test_labels_1",
+            {"model_id": "0", "batch_size": 8, "seed": 42, "proj_dim": 10, "projector": "basic"},
+        ),
+    ],
+)
+# TODO: I think a good naming convention is "test_<function_name>..." or "test_<class_name>...".
+# TODO: I would call it test_captum_similarity, because it is a test for the CaptumSimilarity class.
+# TODO: We could also make the explainer type (e.g. CaptumSimilarity) a param, then it would be test_explainer or something.
+def test_trak_wrapper_explain_stateful_cache(
+    test_id, model, dataset, test_tensor, test_labels, method_kwargs, request, tmp_path
+):
+    model = request.getfixturevalue(model)
+    dataset = request.getfixturevalue(dataset)
+    test_tensor = request.getfixturevalue(test_tensor)
+    test_labels = request.getfixturevalue(test_labels)
+
+    explainer = TRAK(model=model, cache_dir=tmp_path, train_dataset=dataset, **method_kwargs)
+
+    explanations = explainer.explain(test=test_tensor, targets=test_labels)
+    test_tensor = torch.ones_like(test_tensor)
+    explanations_2 = explainer.explain(test=test_tensor, targets=test_labels)
+    assert not torch.allclose(explanations, explanations_2), "Caching is problematic inside the lifetime of the wrapper"
+
+
 @pytest.mark.explainers
 @pytest.mark.parametrize(
     "test_id, model, dataset, test_tensor, test_labels, method_kwargs, explanations",
@@ -72,6 +105,49 @@ def test_trak_wrapper_explain_functional(
     assert torch.allclose(explanations, explanations_exp), "Training data attributions are not as expected"
 
 
+@pytest.mark.explainers
+@pytest.mark.parametrize(
+    "test_id, model, dataset, test_tensor, test_labels, method_kwargs",
+    [
+        (
+            "mnist",
+            "load_mnist_model",
+            "load_mnist_dataset",
+            "load_mnist_test_samples_1",
+            "load_mnist_test_labels_1",
+            {"model_id": "0", "batch_size": 8, "seed": 42, "proj_dim": 10, "projector": "basic"},
+        ),
+    ],
+)
+def test_trak_wrapper_explain_functional_cache(
+    test_id, model, dataset, test_tensor, test_labels, method_kwargs, request, tmp_path
+):
+    model = request.getfixturevalue(model)
+    dataset = request.getfixturevalue(dataset)
+    test_tensor = request.getfixturevalue(test_tensor)
+    test_labels = request.getfixturevalue(test_labels)
+    explanations_first = trak_explain(
+        model=model,
+        cache_dir=str(tmp_path),
+        test_tensor=test_tensor,
+        train_dataset=dataset,
+        explanation_targets=test_labels,
+        device="cpu",
+        **method_kwargs,
+    )
+    test_tensor = torch.rand_like(test_tensor)
+    explanations_second = trak_explain(
+        model=model,
+        cache_dir=str(tmp_path),
+        test_tensor=test_tensor,
+        train_dataset=dataset,
+        explanation_targets=test_labels,
+        device="cpu",
+        **method_kwargs,
+    )
+    assert torch.allclose(explanations_first, explanations_second), "Caching is problematic between different instantiations"
+
+
 @pytest.mark.explainers
 @pytest.mark.parametrize(
     "test_id, model, dataset, test_tensor, test_labels, method_kwargs, explanations",