diff --git a/tests/base-notebook/test_healthcheck.py b/tests/base-notebook/test_healthcheck.py
index 7aca3ac6..2e572019 100644
--- a/tests/base-notebook/test_healthcheck.py
+++ b/tests/base-notebook/test_healthcheck.py
@@ -128,18 +128,16 @@ def test_healthy_with_proxy(
 
 
 @pytest.mark.parametrize(
-    "env,cmd,user",
+    "env,cmd",
     [
-        (["NB_USER=testuser", "CHOWN_HOME=1"], None, None),
+        (["NB_USER=testuser", "CHOWN_HOME=1"], None),
         (
             ["NB_USER=testuser", "CHOWN_HOME=1"],
             ["start-notebook.py", "--ServerApp.base_url=/test"],
-            None,
         ),
         (
             ["NB_USER=testuser", "CHOWN_HOME=1", "JUPYTER_PORT=8123"],
             ["start-notebook.py", "--ServerApp.base_url=/test"],
-            None,
         ),
     ],
 )
@@ -147,13 +145,11 @@ def test_not_healthy(
     container: TrackedContainer,
     env: Optional[list[str]],
     cmd: Optional[list[str]],
-    user: Optional[str],
 ) -> None:
     running_container = container.run_detached(
         tty=True,
         environment=env,
         command=cmd,
-        user=user,
     )
 
     # sleeping some time to let the server start
@@ -164,6 +160,6 @@ def test_not_healthy(
         time.sleep(wait_time)
         time_spent += wait_time
         if get_health(running_container) == "healthy":
-            raise RuntimeError("Container should not be healthy for these testcases.")
+            raise RuntimeError("Container should not be healthy for this testcase")
 
     assert get_health(running_container) != "healthy"
diff --git a/tests/minimal-notebook/test_nbconvert.py b/tests/minimal-notebook/test_nbconvert.py
index 33954cb0..115d2ff0 100644
--- a/tests/minimal-notebook/test_nbconvert.py
+++ b/tests/minimal-notebook/test_nbconvert.py
@@ -11,15 +11,8 @@ LOGGER = logging.getLogger(__name__)
 THIS_DIR = Path(__file__).parent.resolve()
 
 
-@pytest.mark.parametrize(
-    "test_file, output_format",
-    [
-        ("notebook_math", "pdf"),
-        ("notebook_math", "html"),
-        ("notebook_svg", "pdf"),
-        ("notebook_svg", "html"),
-    ],
-)
+@pytest.mark.parametrize("test_file", ["notebook_math", "notebook_svg"])
+@pytest.mark.parametrize("output_format", ["pdf", "html"])
 def test_nbconvert(
     container: TrackedContainer, test_file: str, output_format: str
 ) -> None:
diff --git a/tests/package_helper.py b/tests/package_helper.py
index 7524fe0a..1cfdd99d 100644
--- a/tests/package_helper.py
+++ b/tests/package_helper.py
@@ -96,7 +96,7 @@ class CondaPackageHelper:
     @staticmethod
     def _packages_from_json(env_export: str) -> dict[str, set[str]]:
         """Extract packages and versions from the lines returned by the list of specifications"""
-        # dependencies = filter(lambda x:  isinstance(x, str), json.loads(env_export).get("dependencies"))
+        # dependencies = filter(lambda x: isinstance(x, str), json.loads(env_export).get("dependencies"))
         dependencies = json.loads(env_export).get("dependencies")
         # Filtering packages installed through pip in this case it's a dict {'pip': ['toree==0.3.0']}
         # Since we only manage packages installed through mamba here