diff --git a/daphne/http_protocol.py b/daphne/http_protocol.py
index ce281d8..a30cbed 100755
--- a/daphne/http_protocol.py
+++ b/daphne/http_protocol.py
@@ -275,7 +275,6 @@ class WebRequest(http.Request):
         })
 
 
-
 class HTTPProtocol(http.HTTPChannel):
 
     requestFactory = WebRequest
@@ -335,11 +334,13 @@ class HTTPFactory(http.HTTPFactory):
                 protocol.serverSend(message["bytes"], True)
             if message.get("text", None):
                 protocol.serverSend(message["text"], False)
-            if message.get("close", False):
+
+            closing_code = message.get("close", False)
+            if closing_code:
                 if protocol.state == protocol.STATE_CONNECTING:
                     protocol.serverReject()
                 else:
-                    protocol.serverClose()
+                    protocol.serverClose(code=closing_code)
         else:
             raise ValueError("Cannot dispatch message on channel %r" % channel)
 
diff --git a/daphne/ws_protocol.py b/daphne/ws_protocol.py
index 87e8e74..f880a3a 100755
--- a/daphne/ws_protocol.py
+++ b/daphne/ws_protocol.py
@@ -105,7 +105,7 @@ class WebSocketProtocol(WebSocketServerProtocol):
             # so drop the connection.
             self.muted = True
             logger.warn("WebSocket force closed for %s due to connect backpressure", self.reply_channel)
-            # Send code 1013 "try again later" with close.
+            # Send code 503 "Service Unavailable" with close.
             raise ConnectionDeny(code=503, reason="Connection queue at capacity")
         else:
             self.factory.log_action("websocket", "connecting", {
@@ -198,11 +198,12 @@ class WebSocketProtocol(WebSocketServerProtocol):
         else:
             self.sendMessage(content.encode("utf8"), binary)
 
-    def serverClose(self):
+    def serverClose(self, code=True):
         """
         Server-side channel message to close the socket
         """
-        self.sendClose()
+        code = 1000 if code is True else code
+        self.sendClose(code=code)
 
     def onClose(self, wasClean, code, reason):
         self.cleanup()