diff --git a/pex/version.py b/pex/version.py
index 22693addf..0422d2eb5 100644
--- a/pex/version.py
+++ b/pex/version.py
@@ -8,4 +8,4 @@
 # `packaging.specifiers.SpecifierSet` - indirectly - through `pkg_resources.Requirement.specifier`.
 SETUPTOOLS_REQUIREMENT = 'setuptools>=20.3,<34.0'
 
-WHEEL_REQUIREMENT = 'wheel>=0.26.0,<0.30.0'
+WHEEL_REQUIREMENT = 'wheel>=0.26.0,<0.32.0'
diff --git a/tox.ini b/tox.ini
index f3b66aa6e..fab48715e 100644
--- a/tox.ini
+++ b/tox.ini
@@ -16,7 +16,7 @@ deps =
     twitter.common.dirutil>=0.3.1,<0.4.0
     twitter.common.lang>=0.3.1,<0.4.0
     twitter.common.testing>=0.3.1,<0.4.0
-    wheel==0.29.0
+    wheel==0.31.1
     packaging==16.8
     setuptools<34.0
     list-tests: mock==2.0.0