diff --git a/lib/protocol/stream.js b/lib/protocol/stream.js
index e9fcc6b..32affbf 100644
--- a/lib/protocol/stream.js
+++ b/lib/protocol/stream.js
@@ -585,6 +585,7 @@ Stream.prototype._transition = function transition(sending, frame) {
     //   can be used to close any of those streams.
     case 'CLOSED':
       if (PRIORITY || (sending && RST_STREAM) ||
+          (sending && this._closedWithRst) ||
           (receiving && WINDOW_UPDATE) ||
           (receiving && this._closedByUs &&
            (this._closedWithRst || RST_STREAM || ALTSVC || ORIGIN))) {