diff --git a/ironic_inspector/test/unit/test_common_ironic.py b/ironic_inspector/test/unit/test_common_ironic.py
index 16cd65e94..a5b547e5a 100644
--- a/ironic_inspector/test/unit/test_common_ironic.py
+++ b/ironic_inspector/test/unit/test_common_ironic.py
@@ -163,9 +163,9 @@ class TestCallWithRetries(unittest.TestCase):
 
     def test_no_retries_on_python_error(self):
         self.call.side_effect = RuntimeError('boom')
-        self.assertRaisesRegexp(RuntimeError, 'boom',
-                                ir_utils.call_with_retries,
-                                self.call, 'meow', answer=42)
+        self.assertRaisesRegex(RuntimeError, 'boom',
+                               ir_utils.call_with_retries,
+                               self.call, 'meow', answer=42)
         self.call.assert_called_once_with('meow', answer=42)
 
     @mock.patch('time.sleep', lambda _x: None)
@@ -182,9 +182,9 @@ class TestCallWithRetries(unittest.TestCase):
     @mock.patch('time.sleep', lambda _x: None)
     def test_retries_on_ironicclient_error_with_failure(self):
         self.call.side_effect = os_exc.SDKException('boom')
-        self.assertRaisesRegexp(os_exc.SDKException, 'boom',
-                                ir_utils.call_with_retries,
-                                self.call, 'meow', answer=42)
+        self.assertRaisesRegex(os_exc.SDKException, 'boom',
+                               ir_utils.call_with_retries,
+                               self.call, 'meow', answer=42)
         self.call.assert_called_with('meow', answer=42)
         self.assertEqual(5, self.call.call_count)
 
diff --git a/tox.ini b/tox.ini
index efd739615..a90900a57 100644
--- a/tox.ini
+++ b/tox.ini
@@ -54,8 +54,8 @@ commands =
 usedevelop = False
 deps =
     flake8-import-order>=0.17.1 # LGPLv3
-    hacking>=3.1.0,<4.0.0 # Apache-2.0
-    pycodestyle>=2.0.0,<2.7.0 # MIT
+    hacking>=4.1.0,<5.0.0 # Apache-2.0
+    pycodestyle>=2.0.0,<3.0.0 # MIT
     doc8>=0.8.1 # Apache-2.0
 commands =
     flake8 ironic_inspector