diff --git a/packages/grpc-js/package.json b/packages/grpc-js/package.json
index b10ad4a4..72b4b10e 100644
--- a/packages/grpc-js/package.json
+++ b/packages/grpc-js/package.json
@@ -1,6 +1,6 @@
 {
   "name": "@grpc/grpc-js",
-  "version": "1.6.9",
+  "version": "1.6.10",
   "description": "gRPC Library for Node - pure JS implementation",
   "homepage": "https://grpc.io/",
   "repository": "https://github.com/grpc/grpc-node/tree/master/packages/grpc-js",
diff --git a/packages/grpc-js/src/call-stream.ts b/packages/grpc-js/src/call-stream.ts
index f265512f..c405405e 100644
--- a/packages/grpc-js/src/call-stream.ts
+++ b/packages/grpc-js/src/call-stream.ts
@@ -329,6 +329,11 @@ export class Http2CallStream implements Call {
       process.nextTick(() => {
         this.listener?.onReceiveStatus(filteredStatus);
       });
+      /* Leave the http2 stream in flowing state to drain incoming messages, to
+       * ensure that the stream closure completes. The call stream already does
+       * not push more messages after the status is output, so the messages go
+       * nowhere either way. */
+      this.http2Stream?.resume();
       if (this.subchannel) {
         this.subchannel.callUnref();
         this.subchannel.removeDisconnectListener(this.disconnectListener);
@@ -577,6 +582,11 @@ export class Http2CallStream implements Call {
         this.handleTrailers(headers);
       });
       stream.on('data', (data: Buffer) => {
+        /* If the status has already been output, allow the http2 stream to
+         * drain without processing the data. */
+        if (this.statusOutput) {
+          return;
+        }
         this.trace('receive HTTP/2 data frame of length ' + data.length);
         const messages = this.decoder.write(data);
 
@@ -688,9 +698,6 @@ export class Http2CallStream implements Call {
         }
         this.streamEndWatchers.forEach(watcher => watcher(false));
       });
-      if (!this.pendingRead) {
-        stream.pause();
-      }
       if (this.pendingWrite) {
         if (!this.pendingWriteCallback) {
           throw new Error('Invalid state in write handling code');