diff --git a/lower-constraints.txt b/lower-constraints.txt
index 3d7770a..9a1bfdb 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -1,7 +1,7 @@
 alabaster==0.7.10
 appdirs==1.3.0
 Babel==2.3.4
-bandit==1.4.0
+bandit==1.1.0
 docutils==0.11
 dulwich==0.15.0
 eventlet==0.18.2
@@ -38,7 +38,7 @@ requestsexceptions==1.2.0
 six==1.10.0
 smmap==0.9.0
 snowballstemmer==1.2.1
-Sphinx==1.6.5
+Sphinx==1.6.2
 sphinxcontrib-websupport==1.0.1
 stevedore==1.20.0
 testrepository==0.0.18
diff --git a/test-requirements.txt b/test-requirements.txt
index 1eae2da..08248d0 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -18,7 +18,7 @@ oslotest>=3.2.0 # Apache-2.0
 mock>=2.0.0 # BSD
 
 # rootwrap daemon's client should be verified to run in eventlet
-eventlet!=0.18.3,!=0.20.1,<0.21.0,>=0.18.2 # MIT
+eventlet!=0.18.3,!=0.20.1,>=0.18.2 # MIT
 
 reno>=2.5.0 # Apache-2.0