diff --git a/doc/requirements.txt b/doc/requirements.txt
index ba9d95a4aa..cde60386cb 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,10 +1,7 @@
-# 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.
 openstackdocstheme>=2.2.1 # Apache-2.0
 reno>=3.1.0 # Apache-2.0
 doc8>=0.6.0 # Apache-2.0
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.1.1 # BSD
 os-api-ref>=1.4.0 # Apache-2.0
 ddt>=1.0.1 # MIT
 fixtures>=3.0.0 # Apache-2.0/BSD
diff --git a/requirements.txt b/requirements.txt
index 8c7844a508..087d444a66 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -2,10 +2,6 @@
 # date but we do not test them so no guarantee of having them all correct. If
 # you find any incorrect lower bounds, let us know or propose a fix.
 
-# 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.
-
 # pbr should be first
 pbr>=5.5.0 # Apache-2.0
 
@@ -45,7 +41,7 @@ SQLAlchemy>=1.3.17 # MIT
 SQLAlchemy-Utils>=0.38.3 # BSD License
 stevedore>=3.2.2 # Apache-2.0
 tooz>=2.7.1 # Apache-2.0
-python-cinderclient!=4.0.0,>=3.3.0 # Apache-2.0
+python-cinderclient>=4.0.1 # Apache-2.0
 python-novaclient>=17.2.1 # Apache-2.0
 python-glanceclient>=3.2.2 # Apache-2.0
 WebOb>=1.8.6 # MIT