diff --git a/spacy/tests/pipeline/test_edit_tree_lemmatizer.py b/spacy/tests/pipeline/test_edit_tree_lemmatizer.py
index ae9444462..3b1c8572a 100644
--- a/spacy/tests/pipeline/test_edit_tree_lemmatizer.py
+++ b/spacy/tests/pipeline/test_edit_tree_lemmatizer.py
@@ -101,14 +101,15 @@ def test_initialize_from_labels():
     }
 
 
-def test_no_data():
+@pytest.mark.parametrize("top_k", (1, 5, 30))
+def test_no_data(top_k):
     # Test that the lemmatizer provides a nice error when there's no tagging data / labels
     TEXTCAT_DATA = [
         ("I'm so happy.", {"cats": {"POSITIVE": 1.0, "NEGATIVE": 0.0}}),
         ("I'm so angry", {"cats": {"POSITIVE": 0.0, "NEGATIVE": 1.0}}),
     ]
     nlp = English()
-    nlp.add_pipe("trainable_lemmatizer")
+    nlp.add_pipe("trainable_lemmatizer", config={"top_k": top_k})
     nlp.add_pipe("textcat")
 
     train_examples = []
@@ -119,10 +120,11 @@ def test_no_data():
         nlp.initialize(get_examples=lambda: train_examples)
 
 
-def test_incomplete_data():
+@pytest.mark.parametrize("top_k", (1, 5, 30))
+def test_incomplete_data(top_k):
     # Test that the lemmatizer works with incomplete information
     nlp = English()
-    lemmatizer = nlp.add_pipe("trainable_lemmatizer")
+    lemmatizer = nlp.add_pipe("trainable_lemmatizer", config={"top_k": top_k})
     lemmatizer.min_tree_freq = 1
     train_examples = []
     for t in PARTIAL_DATA: