diff --git a/setup.cfg b/setup.cfg
index 46f4e3b99..99c7a48c3 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -82,7 +82,7 @@ plugins =
 
 [coverage:report]
 precision = 2
-fail_under = 97.82
+fail_under = 97.97
 show_missing = true
 skip_covered = true
 exclude_lines =
diff --git a/tests/protocols/test_websocket.py b/tests/protocols/test_websocket.py
index a5fe93d5b..bf84a8ae2 100644
--- a/tests/protocols/test_websocket.py
+++ b/tests/protocols/test_websocket.py
@@ -5,6 +5,7 @@
 
 from tests.protocols.test_http import HTTP_PROTOCOLS
 from tests.utils import run_server
+from uvicorn import Server
 from uvicorn.config import Config
 from uvicorn.protocols.websockets.wsproto_impl import WSProtocol
 
@@ -790,3 +791,32 @@ async def open_connection(url):
     async with run_server(config):
         headers = await open_connection("ws://127.0.0.1:8000")
         assert headers.get_all("Server") == ["uvicorn", "over-ridden", "another-value"]
+
+
+@pytest.mark.anyio
+@pytest.mark.parametrize("ws_protocol_cls", WS_PROTOCOLS)
+@pytest.mark.parametrize("http_protocol_cls", HTTP_PROTOCOLS)
+async def test_server_shutdown_when_connection_active(
+    ws_protocol_cls, http_protocol_cls
+):
+    class App(WebSocketResponse):
+        async def websocket_connect(self, message):
+            await self.send({"type": "websocket.accept"})
+
+    config = Config(
+        app=App,
+        ws=ws_protocol_cls,
+        http=http_protocol_cls,
+        lifespan="off",
+    )
+    server = Server(config=config)
+    task = asyncio.create_task(server.serve(sockets=None))
+    await asyncio.sleep(0.1)
+    async with websockets.connect("ws://127.0.0.1:8000") as websocket:
+        ws_conn = list(server.server_state.connections)[0]
+        ws_conn.shutdown()
+        await asyncio.sleep(0.1)
+        assert websocket.close_code == 1012
+        assert ws_conn.transport.is_closing()
+    await server.shutdown()
+    task.cancel()
diff --git a/uvicorn/protocols/websockets/websockets_impl.py b/uvicorn/protocols/websockets/websockets_impl.py
index 01133b7e2..902140d80 100644
--- a/uvicorn/protocols/websockets/websockets_impl.py
+++ b/uvicorn/protocols/websockets/websockets_impl.py
@@ -141,7 +141,9 @@ def connection_lost(self, exc: Optional[Exception]) -> None:
 
     def shutdown(self) -> None:
         self.ws_server.closing = True
-        self.transport.close()
+        task = asyncio.create_task(self.close(code=1012))
+        task.add_done_callback(self.on_task_complete)
+        self.tasks.add(task)
 
     def on_task_complete(self, task: asyncio.Task) -> None:
         self.tasks.discard(task)