diff --git a/tests/v1/e2e/test_async_scheduling.py b/tests/v1/e2e/test_async_scheduling.py
index 5cef9b33c9984..c320b7c91e76d 100644
--- a/tests/v1/e2e/test_async_scheduling.py
+++ b/tests/v1/e2e/test_async_scheduling.py
@@ -101,8 +101,11 @@ def test_with_spec_decoding(monkeypatch: pytest.MonkeyPatch):
     spec_config_short = spec_config | {"max_model_len": 50}
 
     test_sampling_params = [
-        dict(),
+        dict(presence_penalty=-1.0),
+        dict(bad_words=["the", " the"]),
         dict(logprobs=2),
+        # TODO there is a logprobs diff for this combo, independent of async scheduling
+        # dict(logprobs=2, presence_penalty=-1.0),
     ]
 
     # test_preemption, executor, async_scheduling,