diff --git a/CHANGES/6950.bugfix b/CHANGES/6950.bugfix
new file mode 100644
index 00000000000..02fcdb6312c
--- /dev/null
+++ b/CHANGES/6950.bugfix
@@ -0,0 +1,7 @@
+Increased the upper boundary of the :doc:`multidict:index` dependency
+to allow for the version 6 -- by :user:`hugovk`.
+
+It used to be limited below version 7 in :doc:`aiohttp <index>` v3.8.1 but
+was lowered in v3.8.2 via :pr:`6550` and never brought back, causing
+problems with dependency pins when upgrading. :doc:`aiohttp <index>` v3.8.3
+fixes that by recovering the original boundary of ``< 7``.
diff --git a/aiohttp/web_ws.py b/aiohttp/web_ws.py
index c3ddff7173f..0d32a218b52 100644
--- a/aiohttp/web_ws.py
+++ b/aiohttp/web_ws.py
@@ -196,9 +196,9 @@ def _handshake(
         accept_val = base64.b64encode(
             hashlib.sha1(key.encode() + WS_KEY).digest()
         ).decode()
-        response_headers = CIMultiDict(  # type: ignore[var-annotated]
+        response_headers = CIMultiDict(
             {
-                hdrs.UPGRADE: "websocket",  # type: ignore[arg-type]
+                hdrs.UPGRADE: "websocket",
                 hdrs.CONNECTION: "upgrade",
                 hdrs.SEC_WEBSOCKET_ACCEPT: accept_val,
             }
diff --git a/setup.cfg b/setup.cfg
index 4a6e3175964..cd279a1fc90 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -50,7 +50,7 @@ include_package_data = True
 install_requires =
   attrs >= 17.3.0
   charset-normalizer >=2.0, < 3.0
-  multidict >=4.5, < 6.0
+  multidict >=4.5, < 7.0
   async_timeout >= 4.0.0a3, < 5.0
   asynctest == 0.13.0; python_version<"3.8"
   yarl >= 1.0, < 2.0