diff --git a/extensions/openai/script.py b/extensions/openai/script.py
index 57a7bdb4..94e4160e 100644
--- a/extensions/openai/script.py
+++ b/extensions/openai/script.py
@@ -1,3 +1,4 @@
+import asyncio
 import json
 import os
 import traceback
@@ -46,6 +47,9 @@ params = {
 }
 
 
+streaming_semaphore = asyncio.Semaphore(1)
+
+
 def verify_api_key(authorization: str = Header(None)) -> None:
     expected_api_key = shared.args.api_key
     if expected_api_key and (authorization is None or authorization != f"Bearer {expected_api_key}"):
@@ -84,9 +88,10 @@ async def openai_completions(request: Request, request_data: CompletionRequest):
 
     if request_data.stream:
         async def generator():
-            response = OAIcompletions.stream_completions(to_dict(request_data), is_legacy=is_legacy)
-            for resp in response:
-                yield {"data": json.dumps(resp)}
+            async with streaming_semaphore:
+                response = OAIcompletions.stream_completions(to_dict(request_data), is_legacy=is_legacy)
+                for resp in response:
+                    yield {"data": json.dumps(resp)}
 
         return EventSourceResponse(generator())  # SSE streaming
 
@@ -102,9 +107,10 @@ async def openai_chat_completions(request: Request, request_data: ChatCompletion
 
     if request_data.stream:
         async def generator():
-            response = OAIcompletions.stream_chat_completions(to_dict(request_data), is_legacy=is_legacy)
-            for resp in response:
-                yield {"data": json.dumps(resp)}
+            async with streaming_semaphore:
+                response = OAIcompletions.stream_chat_completions(to_dict(request_data), is_legacy=is_legacy)
+                for resp in response:
+                    yield {"data": json.dumps(resp)}
 
         return EventSourceResponse(generator())  # SSE streaming