diff --git a/cwltool/executors.py b/cwltool/executors.py
index bfc87f9c7..f069f70a2 100644
--- a/cwltool/executors.py
+++ b/cwltool/executors.py
@@ -438,7 +438,7 @@ def run_jobs(
         logger: logging.Logger,
         runtime_context: RuntimeContext,
     ) -> None:
-        self.taskqueue: TaskQueue = TaskQueue(threading.Lock(), psutil.cpu_count())
+        self.taskqueue: TaskQueue = TaskQueue(threading.Lock(), self.max_cores )
         try:
             jobiter = process.job(job_order_object, self.output_callback, runtime_context)