diff --git a/test-requirements.txt b/test-requirements.txt
index 918095d3..09534b45 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -6,13 +6,14 @@ hacking!=0.13.0,<0.14,>=0.12.0 # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 python-barbicanclient>=4.5.2 # Apache-2.0
 python-subunit>=1.0.0 # Apache-2.0/BSD
-sphinx!=1.6.6,!=1.6.7,>=1.6.2 # BSD
+sphinx!=1.6.6,!=1.6.7,>=1.6.2,<2.0.0;python_version=='2.7' # BSD
+sphinx!=1.6.6,!=1.6.7,>=1.6.2;python_version>='3.4' # BSD
 openstackdocstheme>=1.18.1 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 stestr>=2.0.0 # Apache-2.0
 fixtures>=3.0.0 # Apache-2.0/BSD
 testscenarios>=0.4 # Apache-2.0/BSD
 testtools>=2.2.0 # MIT
-bandit>=1.1.0 # Apache-2.0
+bandit>=1.1.0,<1.6.0 # Apache-2.0
 reno>=2.5.0 # Apache-2.0
 pifpaf>=0.10.0 # Apache-2.0