diff --git a/homeassistant/package_constraints.txt b/homeassistant/package_constraints.txt
index 89159448a71..7debda373fd 100644
--- a/homeassistant/package_constraints.txt
+++ b/homeassistant/package_constraints.txt
@@ -159,6 +159,6 @@ uamqp==1.6.0;python_version<'3.11'
 faust-cchardet>=2.1.18
 
 # websockets 11.0 is missing files in the source distribution
-# which break wheel builds
+# which break wheel builds so we need at least 11.0.1
 # https://github.com/aaugustin/websockets/issues/1329
-websockets<11.0
+websockets>=11.0.1
diff --git a/script/gen_requirements_all.py b/script/gen_requirements_all.py
index b31674d04e8..585acc944dc 100755
--- a/script/gen_requirements_all.py
+++ b/script/gen_requirements_all.py
@@ -164,9 +164,9 @@ uamqp==1.6.0;python_version<'3.11'
 faust-cchardet>=2.1.18
 
 # websockets 11.0 is missing files in the source distribution
-# which break wheel builds
+# which break wheel builds so we need at least 11.0.1
 # https://github.com/aaugustin/websockets/issues/1329
-websockets<11.0
+websockets>=11.0.1
 """
 
 IGNORE_PRE_COMMIT_HOOK_ID = (
diff --git a/script/pip_check b/script/pip_check
index cbbe7ffeeae..cbe6a3851e0 100755
--- a/script/pip_check
+++ b/script/pip_check
@@ -3,7 +3,7 @@ PIP_CACHE=$1
 
 # Number of existing dependency conflicts
 # Update if a PR resolves one!
-DEPENDENCY_CONFLICTS=3
+DEPENDENCY_CONFLICTS=4
 
 PIP_CHECK=$(pip check --cache-dir=$PIP_CACHE)
 LINE_COUNT=$(echo "$PIP_CHECK" | wc -l)