diff --git a/lower-constraints.txt b/lower-constraints.txt
index dd12ef0..c807550 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -1,11 +1,12 @@
 alabaster==0.7.10
 appdirs==1.3.0
 Babel==2.3.4
-bandit==1.4.0
+bandit==1.1.0
 cffi==1.7.0
 debtcollector==1.2.0
 docutils==0.11
 dulwich==0.15.0
+enum34==1.0.4;python_version=='2.7' or python_version=='2.6' or python_version=='3.3' # BSD
 eventlet==0.18.2
 extras==1.0.0
 fixtures==3.0.0
@@ -24,8 +25,8 @@ mccabe==0.2.1
 mock==2.0.0
 monotonic==0.6
 mox3==0.20.0
-msgpack==0.5.1
 msgpack-python==0.4.0
+msgpack==0.5.0
 netaddr==0.7.18
 netifaces==0.10.4
 openstackdocstheme==1.18.1
@@ -56,7 +57,7 @@ rfc3986==0.3.1
 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/requirements.txt b/requirements.txt
index b7e80a1..1b63799 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -8,6 +8,6 @@ oslo.config>=5.2.0 # Apache-2.0
 oslo.utils>=3.33.0 # Apache-2.0
 enum34>=1.0.4;python_version=='2.7' or python_version=='2.6' or python_version=='3.3' # BSD
 cffi>=1.7.0 # MIT
-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
 greenlet>=0.4.10 # MIT
-msgpack>=0.4.0 # Apache-2.0
+msgpack>=0.5.0 # Apache-2.0