diff --git a/doc/requirements.txt b/doc/requirements.txt
index a02f880..2e44bfb 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.
-
 openstackdocstheme>=2.2.0 # Apache-2.0
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.0.0 # BSD
 reno>=3.1.0 # Apache-2.0
 sphinxcontrib-apidoc>=0.2.0  # BSD
diff --git a/requirements.txt b/requirements.txt
index a94ff0e..f782d71 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -1,6 +1,6 @@
-pbr!=2.1.0,>=2.0.0 # Apache-2.0
+pbr>=2.0.0 # Apache-2.0
 Jinja2>=2.10 # BSD License (3 clause)
-oslo.serialization!=2.19.1,>=2.18.0 # Apache-2.0
+oslo.serialization>=2.18.0 # Apache-2.0
 psutil>=3.2.2 # BSD
 oslo.i18n>=3.15.3 # Apache-2.0
 oslo.utils>=3.33.0 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index 1f9b076..52cf4e8 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -4,4 +4,4 @@ stestr>=2.0.0 # Apache-2.0
 # for testing optional parts
 greenlet>=0.4.15 # MIT
 
-coverage!=4.4,>=4.0 # Apache-2.0
+coverage>=4.0 # Apache-2.0