diff --git a/gunicorn/arbiter.py b/gunicorn/arbiter.py
index e5217266a..1bfd47089 100644
--- a/gunicorn/arbiter.py
+++ b/gunicorn/arbiter.py
@@ -565,6 +565,10 @@ def spawn_worker(self):
             self.WORKERS[pid] = worker
             return pid
 
+        # Do not inherit the temporary files of other workers
+        for sibling in self.WORKERS.values():
+            sibling.tmp.close()
+        
         # Process Child
         worker_pid = os.getpid()
         try: