diff --git a/doc/requirements.txt b/doc/requirements.txt
index d959d4431..af1aeb8b3 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -3,4 +3,5 @@
 # process, which may cause wedges in the gate later.
 openstackdocstheme>=1.18.1 # Apache-2.0
 reno>=2.5.0 # Apache-2.0
-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
diff --git a/test-requirements.txt b/test-requirements.txt
index dabdb0e02..a1eb9b1d1 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -3,7 +3,7 @@
 # process, which may cause wedges in the gate later.
 hacking>=1.1.0 # Apache-2.0
 
-bandit>=1.1.0 # Apache-2.0
+bandit!=1.6.0,>=1.1.0 # Apache-2.0
 coverage!=4.4,>=4.0 # Apache-2.0
 fixtures>=3.0.0 # Apache-2.0/BSD
 flake8-import-order==0.12 # LGPLv3