diff --git a/tox.ini b/tox.ini
index ad11ef5ca..50eb13459 100644
--- a/tox.ini
+++ b/tox.ini
@@ -26,8 +26,8 @@ deps =
     Pygments>=2.2.0 # BSD license
     doc8>=0.8.1 # Apache-2.0
     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~=6.0.0 # Apache-2.0
+    pycodestyle>=2.0.0,<3.0.0 # MIT
 commands =
     flake8 {posargs}
     doc8 doc/source releasenotes/source README.rst CONTRIBUTING.rst HACKING.rst