diff --git a/starlette/authentication.py b/starlette/authentication.py
index b4882070d5..9384f1045a 100644
--- a/starlette/authentication.py
+++ b/starlette/authentication.py
@@ -6,7 +6,7 @@
 from starlette.exceptions import HTTPException
 from starlette.requests import HTTPConnection, Request
 from starlette.responses import RedirectResponse, Response
-from starlette.websockets import WebSocket
+from starlette.websockets import WebSocket, WebsocketDenialResponse
 
 
 def has_required_scope(conn: HTTPConnection, scopes: typing.Sequence[str]) -> bool:
@@ -46,9 +46,17 @@ async def websocket_wrapper(
                 assert isinstance(websocket, WebSocket)
 
                 if not has_required_scope(websocket, scopes_list):
-                    await websocket.close()
-                else:
-                    await func(*args, **kwargs)
+                    if redirect is not None:
+                        response = WebsocketDenialResponse(
+                            RedirectResponse(
+                                url=websocket.url_for(redirect), status_code=303
+                            )
+                        )
+                        await response.send(websocket)
+                    else:
+                        raise HTTPException(status_code=status_code)
+
+                await func(*args, **kwargs)
 
             return websocket_wrapper
 
@@ -66,7 +74,9 @@ async def async_wrapper(
                         return RedirectResponse(
                             url=request.url_for(redirect), status_code=303
                         )
-                    raise HTTPException(status_code=status_code)
+                    else:
+                        raise HTTPException(status_code=status_code)
+
                 return await func(*args, **kwargs)
 
             return async_wrapper
@@ -83,7 +93,9 @@ def sync_wrapper(*args: typing.Any, **kwargs: typing.Any) -> Response:
                         return RedirectResponse(
                             url=request.url_for(redirect), status_code=303
                         )
-                    raise HTTPException(status_code=status_code)
+                    else:
+                        raise HTTPException(status_code=status_code)
+
                 return func(*args, **kwargs)
 
             return sync_wrapper
diff --git a/starlette/middleware/authentication.py b/starlette/middleware/authentication.py
index 6e2d2dade3..72c76f4200 100644
--- a/starlette/middleware/authentication.py
+++ b/starlette/middleware/authentication.py
@@ -9,6 +9,7 @@
 from starlette.requests import HTTPConnection
 from starlette.responses import PlainTextResponse, Response
 from starlette.types import ASGIApp, Receive, Scope, Send
+from starlette.websockets import WebsocketDenialResponse
 
 
 class AuthenticationMiddleware:
@@ -37,9 +38,8 @@ async def __call__(self, scope: Scope, receive: Receive, send: Send) -> None:
         except AuthenticationError as exc:
             response = self.on_error(conn, exc)
             if scope["type"] == "websocket":
-                await send({"type": "websocket.close", "code": 1000})
-            else:
-                await response(scope, receive, send)
+                response = WebsocketDenialResponse(response)
+            await response(scope, receive, send)
             return
 
         if auth_result is None: