diff --git a/lib/dispatcher/client-h2.js b/lib/dispatcher/client-h2.js
index e22234de8d6..e472ce6830e 100644
--- a/lib/dispatcher/client-h2.js
+++ b/lib/dispatcher/client-h2.js
@@ -312,29 +312,7 @@ function connectH2 (client, socket) {
       }
 
       if (request != null) {
-        if (client[kRunning] > 0) {
-          // We are already processing requests
-
-          // Unlike HTTP/1.1 pipelining, HTTP/2 multiplexes requests on
-          // independent streams, so non-idempotent requests can be dispatched
-          // concurrently. Retry eligibility is handled by stream/session error
-          // handling instead of by serializing all non-idempotent requests.
-          // Don't dispatch an upgrade until all preceding requests have completed.
-          // Possibly, we do not have remote settings confirmed yet.
-          if ((request.upgrade === 'websocket' || request.method === 'CONNECT') && session[kRemoteSettings] === false) return true
-          // Request with stream or iterator body can error while other requests
-          // are inflight and indirectly error those as well.
-          // Ensure this doesn't happen by waiting for inflight
-          // to complete before dispatching.
-
-          // Request with stream or iterator body cannot be retried.
-          // Ensure that no other requests are inflight and
-          // could cause failure.
-          if (util.bodyLength(request.body) !== 0 &&
-            (util.isStream(request.body) || util.isAsyncIterable(request.body) || util.isFormDataLike(request.body))) return true
-        } else {
-          return (request.upgrade === 'websocket' || request.method === 'CONNECT') && session[kRemoteSettings] === false
-        }
+        return (request.upgrade === 'websocket' || request.method === 'CONNECT') && session[kRemoteSettings] === false
       }
 
       return false