diff --git a/homeassistant/package_constraints.txt b/homeassistant/package_constraints.txt
index 285c7debe99..405383aec15 100644
--- a/homeassistant/package_constraints.txt
+++ b/homeassistant/package_constraints.txt
@@ -152,10 +152,12 @@ protobuf==5.28.3
 # 2.1.18 is the first version that works with our wheel builder
 faust-cchardet>=2.1.18
 
-# websockets 11.0 is missing files in the source distribution
-# which break wheel builds so we need at least 11.0.1
-# https://github.com/aaugustin/websockets/issues/1329
-websockets>=11.0.1
+# websockets 13.1 is the first version to fully support the new
+# asyncio implementation. The legacy implementation is now
+# deprecated as of websockets 14.0.
+# https://websockets.readthedocs.io/en/13.0.1/howto/upgrade.html#missing-features
+# https://websockets.readthedocs.io/en/stable/howto/upgrade.html
+websockets>=13.1
 
 # pysnmplib is no longer maintained and does not work with newer
 # python
diff --git a/script/gen_requirements_all.py b/script/gen_requirements_all.py
index 7d53741c661..689db744f17 100755
--- a/script/gen_requirements_all.py
+++ b/script/gen_requirements_all.py
@@ -185,10 +185,12 @@ protobuf==5.28.3
 # 2.1.18 is the first version that works with our wheel builder
 faust-cchardet>=2.1.18
 
-# websockets 11.0 is missing files in the source distribution
-# which break wheel builds so we need at least 11.0.1
-# https://github.com/aaugustin/websockets/issues/1329
-websockets>=11.0.1
+# websockets 13.1 is the first version to fully support the new
+# asyncio implementation. The legacy implementation is now
+# deprecated as of websockets 14.0.
+# https://websockets.readthedocs.io/en/13.0.1/howto/upgrade.html#missing-features
+# https://websockets.readthedocs.io/en/stable/howto/upgrade.html
+websockets>=13.1
 
 # pysnmplib is no longer maintained and does not work with newer
 # python