diff --git a/requirements/requirements-packaging.txt b/requirements/requirements-packaging.txt
index a9733185b..81f22a35a 100644
--- a/requirements/requirements-packaging.txt
+++ b/requirements/requirements-packaging.txt
@@ -1,8 +1,8 @@
 # Wheel for PyPI installs.
-wheel>=0.35.1,<0.36
+wheel>=0.36.2,<0.40.0
 
 # Twine for secured PyPI uploads.
-twine>=3.2.0,<3.3
+twine>=3.4.2,<4.0.2
 
 # Transifex client for managing translation resources.
 transifex-client