diff --git a/doc/requirements.txt b/doc/requirements.txt
index 9abc1cfa..8ff0edf4 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,8 +1,5 @@
-# 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
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.0.0 # BSD
 sphinxcontrib-apidoc>=0.2.1 # BSD
 
 # releasenotes
diff --git a/requirements.txt b/requirements.txt
index 8eaaa5cf..61674917 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -2,12 +2,8 @@
 # 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.
-
 horizon>=17.1.0 # Apache-2.0
-Babel!=2.4.0,>=2.3.4 # BSD
+Babel>=2.3.4 # BSD
 openstacksdk>=0.53.0 # Apache-2.0
-pbr!=2.1.0,>=2.0.0 # Apache-2.0
+pbr>=2.0.0 # Apache-2.0
 python-keystoneclient>=3.22.0 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index 80bcf625..2dc55eba 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,9 +1,5 @@
-# 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.
-
 hacking>=3.0.1,<3.1.0 # Apache-2.0
-coverage!=4.4,>=4.0 # Apache-2.0
+coverage>=4.0 # Apache-2.0
 selenium>=2.50.1 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 stestr>=2.0.0 # Apache-2.0