diff --git a/src/mcp/server/streamable_http.py b/src/mcp/server/streamable_http.py
index 10a388b6..32b63c1a 100644
--- a/src/mcp/server/streamable_http.py
+++ b/src/mcp/server/streamable_http.py
@@ -612,7 +612,7 @@ class StreamableHTTPServerTransport:
         if not await self._validate_request_headers(request, send):
             return
 
-        await self._terminate_session()
+        await self.terminate()
 
         response = self._create_json_response(
             None,
@@ -620,7 +620,7 @@ class StreamableHTTPServerTransport:
         )
         await response(request.scope, request.receive, send)
 
-    async def _terminate_session(self) -> None:
+    async def terminate(self) -> None:
         """Terminate the current session, closing all streams.
 
         Once terminated, all requests with this session ID will receive 404 Not Found.
diff --git a/src/mcp/server/streamable_http_manager.py b/src/mcp/server/streamable_http_manager.py
index e953ca39..f38e6afe 100644
--- a/src/mcp/server/streamable_http_manager.py
+++ b/src/mcp/server/streamable_http_manager.py
@@ -190,6 +190,9 @@ class StreamableHTTPSessionManager:
         # Handle the HTTP request and return the response
         await http_transport.handle_request(scope, receive, send)
 
+        # Terminate the transport after the request is handled
+        await http_transport.terminate()
+
     async def _handle_stateful_request(
         self,
         scope: Scope,