diff --git a/lower-constraints.txt b/lower-constraints.txt
index 1c3958f..5cdb400 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
 coverage==4.0
 debtcollector==1.2.0
 docutils==0.11
@@ -51,7 +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 593866f..029d9eb 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -11,7 +11,7 @@ sphinx!=1.6.6,!=1.6.7,>=1.6.2 # BSD
 
 # for testing optional parts
 oslo.config>=5.2.0 # 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
 greenlet>=0.4.10 # MIT
 
 coverage!=4.4,>=4.0 # Apache-2.0