diff --git a/lower-constraints.txt b/lower-constraints.txt
index 2b7ba39..f917ff5 100644
--- a/lower-constraints.txt
+++ b/lower-constraints.txt
@@ -1,16 +1,18 @@
 alabaster==0.7.10
 appdirs==1.3.0
 Babel==2.3.4
-bandit==1.4.0
+bandit==1.1.0
 coverage==4.0
 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
 fasteners==0.7.0
 fixtures==3.0.0
 flake8==2.5.5
+futures==3.0.0;python_version=='2.7' or python_version=='2.6' # BSD
 gitdb==0.6.4
 GitPython==1.0.1
 greenlet==0.4.10
@@ -49,7 +51,7 @@ 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/test-requirements.txt b/test-requirements.txt
index 6389366..a6f68de 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -13,7 +13,7 @@ openstackdocstheme>=1.18.1 # Apache-2.0
 sphinx!=1.6.6,!=1.6.7,>=1.6.2 # BSD
 reno>=2.5.0 # Apache-2.0
 
-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
 
 # Bandit security code scanner
 bandit>=1.1.0 # Apache-2.0