diff --git a/doc/requirements.txt b/doc/requirements.txt
index 0393239d..08333a4c 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,8 +1,4 @@
-# The order of packages is significant, because pip processes them in the order
-# of appearance. Changing the order has an impact on the overall integration
-# process, which may cause wedges in the gate later.
-
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.0.0 # BSD
 openstackdocstheme>=2.2.1 # Apache-2.0
 reno>=3.1.0 # Apache-2.0
 
diff --git a/test-requirements.txt b/test-requirements.txt
index 7692960d..919b8a8b 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -6,4 +6,4 @@ coverage>=4.5.1 # Apache-2.0
 
 fixtures>=3.0.0 # Apache-2.0/BSD
 
-eventlet>=0.30.1,!=0.32.0 # MIT
+eventlet>=0.30.1 # MIT