diff --git a/base-notebook/test/test_python.py b/base-notebook/test/test_python.py
index 6cbde99f..f36b748e 100644
--- a/base-notebook/test/test_python.py
+++ b/base-notebook/test/test_python.py
@@ -7,13 +7,13 @@ from packaging import version
 LOGGER = logging.getLogger(__name__)
 
 
-def test_python_version(container, python_max_version="3.9"):
-    """Check that python version is not higher than a max version"""
-    LOGGER.info(f"Checking that python version is lower than {python_max_version}")
+def test_python_version(container, python_next_version="3.9"):
+    """Check that python version is lower than the next version"""
+    LOGGER.info(f"Checking that python version is lower than {python_next_version}")
     c = container.run(tty=True, command=["start.sh"])
     cmd = c.exec_run("python --version")
     output = cmd.output.decode("utf-8")
     actual_python_version = version.parse(output.split()[1])
     assert actual_python_version < version.parse(
-        python_max_version
-    ), f"Python version shall be lower than {python_max_version}"
+        python_next_version
+    ), f"Python version shall be lower than {python_next_version}"