diff --git a/doc/requirements.txt b/doc/requirements.txt
index f3822922..117aa968 100644
--- a/doc/requirements.txt
+++ b/doc/requirements.txt
@@ -1,9 +1,6 @@
-# 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.
 # These are needed for docs generation
 openstackdocstheme>=2.2.1 # Apache-2.0
-sphinx>=2.0.0,!=2.1.0 # BSD
+sphinx>=2.0.0 # BSD
 reno>=3.1.0 # Apache-2.0
 
 mock>=2.0.0 # BSD
diff --git a/requirements.txt b/requirements.txt
index c90e95b1..c410e800 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -2,7 +2,7 @@ oslo.concurrency>=3.26.0 # Apache-2.0
 oslo.config>=5.2.0 # Apache-2.0
 oslo.context>=2.19.2 # Apache-2.0
 oslo.messaging>=5.29.0 # Apache-2.0
-oslo.serialization!=2.19.1,>=2.18.0 # Apache-2.0
+oslo.serialization>=2.18.0 # Apache-2.0
 oslo.utils>=4.7.0 # Apache-2.0
 iso8601>=0.1.11 # MIT
 oslo.log>=3.36.0 # Apache-2.0
diff --git a/test-requirements.txt b/test-requirements.txt
index 769673bf..301308e1 100644
--- a/test-requirements.txt
+++ b/test-requirements.txt
@@ -1,7 +1,7 @@
 hacking>=6.1.0,<6.2.0 # Apache-2.0
 oslotest>=3.2.0 # Apache-2.0
 testtools>=2.2.0 # MIT
-coverage!=4.4,>=4.0 # Apache-2.0
+coverage>=4.0 # Apache-2.0
 jsonschema>=3.2.0 # MIT
 stestr>=2.0.0 # Apache-2.0