diff --git a/lib/http.c b/lib/http.c
index 2487bac08..9083337c3 100644
--- a/lib/http.c
+++ b/lib/http.c
@@ -1746,7 +1746,7 @@ CURLcode Curl_http(struct connectdata *conn, bool *done)
       if(result)
         return result;
 
-      result = Curl_http2_switched(conn);
+      result = Curl_http2_switched(conn, NULL, 0);
       if(result)
         return result;
       break;
@@ -2993,10 +2993,12 @@ CURLcode Curl_http_readwrite_headers(struct SessionHandle *data,
             infof(data, "Received 101\n");
             k->upgr101 = UPGR101_RECEIVED;
 
-            /* switch to http2 now */
-            result = Curl_http2_switched(conn);
+            /* switch to http2 now. The bytes after response headers
+               are also processed here, otherwise they are lost. */
+            result = Curl_http2_switched(conn, k->str, *nread);
             if(result)
               return result;
+            *nread = 0;
           }
           break;
         default:
diff --git a/lib/http2.c b/lib/http2.c
index f86d3ebff..610c9c53a 100644
--- a/lib/http2.c
+++ b/lib/http2.c
@@ -988,7 +988,8 @@ CURLcode Curl_http2_setup(struct connectdata *conn)
   return 0;
 }
 
-CURLcode Curl_http2_switched(struct connectdata *conn)
+CURLcode Curl_http2_switched(struct connectdata *conn,
+                             const char *mem, size_t nread)
 {
   CURLcode rc;
   struct http_conn *httpc = &conn->proto.httpc;
@@ -1036,6 +1037,15 @@ CURLcode Curl_http2_switched(struct connectdata *conn)
       return CURLE_HTTP2;
     }
   }
+
+  rv = (int)nghttp2_session_mem_recv(httpc->h2, (const uint8_t*)mem, nread);
+
+  if(rv != (int)nread) {
+    failf(data, "nghttp2_session_mem_recv() failed: %s(%d)",
+          nghttp2_strerror(rv), rv);
+    return CURLE_HTTP2;
+  }
+
   return CURLE_OK;
 }
 
diff --git a/lib/http2.h b/lib/http2.h
index 66aa6fd5c..5218957f5 100644
--- a/lib/http2.h
+++ b/lib/http2.h
@@ -37,7 +37,8 @@ CURLcode Curl_http2_send_request(struct connectdata *conn);
 CURLcode Curl_http2_request_upgrade(Curl_send_buffer *req,
                                     struct connectdata *conn);
 CURLcode Curl_http2_setup(struct connectdata *conn);
-CURLcode Curl_http2_switched(struct connectdata *conn);
+CURLcode Curl_http2_switched(struct connectdata *conn,
+                             const char *data, size_t nread);
 #else /* USE_NGHTTP2 */
 #define Curl_http2_init(x) CURLE_UNSUPPORTED_PROTOCOL
 #define Curl_http2_send_request(x) CURLE_UNSUPPORTED_PROTOCOL