diff --git a/tests/protocols/test_websocket.py b/tests/protocols/test_websocket.py
index d21be54de..94b625a36 100644
--- a/tests/protocols/test_websocket.py
+++ b/tests/protocols/test_websocket.py
@@ -1,3 +1,5 @@
+import asyncio
+
 import httpx
 import pytest
 
@@ -539,3 +541,67 @@ async def send_text(url):
             with pytest.raises(websockets.ConnectionClosedError) as e:
                 data = await send_text("ws://127.0.0.1:8000")
             assert e.value.code == expected_result
+
+
+@pytest.mark.asyncio
+@pytest.mark.parametrize("ws_protocol_cls", WS_PROTOCOLS)
+@pytest.mark.parametrize("http_protocol_cls", HTTP_PROTOCOLS)
+async def test_server_reject_connection(ws_protocol_cls, http_protocol_cls):
+    async def app(scope, receive, send):
+        assert scope["type"] == "websocket"
+
+        # Pull up first recv message.
+        message = await receive()
+        assert message["type"] == "websocket.connect"
+
+        # Reject the connection.
+        await send({"type": "websocket.close"})
+        # -- At this point websockets' recv() is unusable. --
+
+        # This doesn't raise `TypeError`:
+        # See https://github.com/encode/uvicorn/issues/244
+        message = await receive()
+        assert message["type"] == "websocket.disconnect"
+
+    async def websocket_session(url):
+        try:
+            async with websockets.connect(url):
+                pass
+        except Exception:
+            pass
+
+    config = Config(app=app, ws=ws_protocol_cls, http=http_protocol_cls, lifespan="off")
+    async with run_server(config):
+        await websocket_session("ws://127.0.0.1:8000")
+
+
+@pytest.mark.asyncio
+@pytest.mark.parametrize("ws_protocol_cls", WS_PROTOCOLS)
+@pytest.mark.parametrize("http_protocol_cls", HTTP_PROTOCOLS)
+async def test_server_can_read_messages_in_buffer_after_close(
+    ws_protocol_cls, http_protocol_cls
+):
+    frames = []
+
+    class App(WebSocketResponse):
+        async def websocket_connect(self, message):
+            await self.send({"type": "websocket.accept"})
+            # Ensure server doesn't start reading frames from read buffer until
+            # after client has sent close frame, but server is still able to
+            # read these frames
+            await asyncio.sleep(0.2)
+
+        async def websocket_receive(self, message):
+            frames.append(message.get("bytes"))
+
+    async def send_text(url):
+        async with websockets.connect(url) as websocket:
+            await websocket.send(b"abc")
+            await websocket.send(b"abc")
+            await websocket.send(b"abc")
+
+    config = Config(app=App, ws=ws_protocol_cls, http=http_protocol_cls, lifespan="off")
+    async with run_server(config):
+        await send_text("ws://127.0.0.1:8000")
+
+    assert frames == [b"abc", b"abc", b"abc"]
diff --git a/uvicorn/protocols/websockets/websockets_impl.py b/uvicorn/protocols/websockets/websockets_impl.py
index d829f49a6..b69e31535 100644
--- a/uvicorn/protocols/websockets/websockets_impl.py
+++ b/uvicorn/protocols/websockets/websockets_impl.py
@@ -282,10 +282,17 @@ async def asgi_receive(self):
             return {"type": "websocket.connect"}
 
         await self.handshake_completed_event.wait()
+
+        if self.closed_event.is_set():
+            # If client disconnected, use WebSocketServerProtocol.close_code property.
+            # If the handshake failed or the app closed before handshake completion,
+            # use 1006 Abnormal Closure.
+            return {"type": "websocket.disconnect", "code": self.close_code or 1006}
+
         try:
-            await self.ensure_open()
             data = await self.recv()
         except websockets.ConnectionClosed as exc:
+            self.closed_event.set()
             return {"type": "websocket.disconnect", "code": exc.code}
 
         msg = {"type": "websocket.receive"}