diff --git a/test-requirements.txt b/test-requirements.txt
index d72b23bb..d8bb1682 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -3,15 +3,15 @@
 # process, which may cause wedges in the gate later.
 
 # Install bounded pep8/pyflakes first, then let flake8 install
-hacking>=0.11.0,<0.12  # Apache-2.0
-bandit>=1.1.0  # Apache-2.0
+hacking<0.12,>=0.11.0 # Apache-2.0
+bandit>=1.1.0 # Apache-2.0
 
 fixtures>=3.0.0 # Apache-2.0/BSD
 coverage>=3.6 # Apache-2.0
 mock>=2.0 # BSD
-sphinx>=1.2.1,!=1.3b1,<1.3  # BSD
-oslosphinx>=2.5.0,!=3.4.0  # Apache-2.0
+sphinx!=1.3b1,<1.3,>=1.2.1 # BSD
+oslosphinx!=3.4.0,>=2.5.0 # Apache-2.0
 oslotest>=1.10.0 # Apache-2.0
-os-testr>=0.7.0  # Apache-2.0
+os-testr>=0.7.0 # Apache-2.0
 simplejson>=2.2.0 # MIT
 openstackdocstheme>=1.5.0 # Apache-2.0