Server hangs when shutting down if a connection is still open

Initial Checks

• I confirm that I'm using the latest version of MCP Python SDK
• I confirm that I searched for my issue in https://github.com/modelcontextprotocol/python-sdk/issues before opening this issue

Description

Hello!

I was testing my MCP server with the inspector npx @modelcontextprotocol/inspector using streamable-http and I noticed that if the inspector is connected, the MCP Server will not shutdown.

We can't keep the server running if a client forgot to disconnect right? This is tested with the official inspector tools, so there might be other clients working the same way.

Shouldn't the server close its active connections/tasks on shutdown?

Reproduction

1. Run the server (see code snippet)
2. In the MCP Inspector click "connect"
3. In the server's terminal hit CTRL+C

At this point

• The server shows Waiting for connections to close (CTRL+C to force quit) and CTRL+C doesn't work, in fact nothing works except killing the process
• Clicking "Disconned" in the Inspector cannot disconnect, because Error in /mcp route: TypeError: fetch failed

Evidences

Shell execution

$ python demo-mcp.py                 
INFO:     Started server process [10749]
INFO:     Waiting for application startup.
[08/14/25 11:03:16] INFO     StreamableHTTP session manager started                                                                                                                                                                                 streamable_http_manager.py:110
INFO:     Application startup complete.
INFO:     Uvicorn running on http://127.0.0.1:8000 (Press CTRL+C to quit)
[08/14/25 11:03:21] INFO     Created new transport with session ID: 4134f60ccda44baf8a01733ed94bc0d8                                                                                                                                                streamable_http_manager.py:233
INFO:     127.0.0.1:54629 - "POST /mcp HTTP/1.1" 200 OK
INFO:     127.0.0.1:54629 - "POST /mcp HTTP/1.1" 202 Accepted
INFO:     127.0.0.1:54630 - "GET /mcp HTTP/1.1" 200 OK
^CINFO:     Shutting down
INFO:     Waiting for connections to close. (CTRL+C to force quit)

Inspector proxy Disconnect error

Received DELETE message for sessionId dd8a78d2-d5a8-4ff2-b679-6a8571f7cd0c
Connection refused. Is the MCP server running?
Error in /mcp route: TypeError: fetch failed
    at node:internal/deps/undici/undici:13502:13
    at process.processTicksAndRejections (node:internal/process/task_queues:105:5)
    at async StreamableHTTPClientTransport.terminateSession (file://.../.npm/_npx/5a9d879542beca3a/node_modules/@modelcontextprotocol/sdk/dist/esm/client/streamableHttp.js:355:30)
    at async file://.../.npm/_npx/5a9d879542beca3a/node_modules/@modelcontextprotocol/inspector/server/build/index.js:264:17 {
  [cause]: Error: connect ECONNREFUSED 127.0.0.1:8000
      at TCPConnectWrap.afterConnect [as oncomplete] (node:net:1636:16) {
    errno: -61,
    code: 'ECONNREFUSED',
    syscall: 'connect',
    address: '127.0.0.1',
    port: 8000
  }
}

Mitigation

Setting the timeout_graceful_shutdown uvicorn config to a few seconds will eventually quit the process, BUT this is exiting with a non 0 exit code, which is an issue trying to run this in production. (This setting has been request here and currently available in FastMCP 2.0)

Example Code

from mcp.server.fastmcp import FastMCP

mcp = FastMCP("demo")

@mcp.tool()
async def hello() -> str:
    return "world"

mcp.run(transport="streamable-http")

Python & MCP Python SDK

Python 3.12.8
mcp 1.12.4

Edit: reproduced with mcp 1.13.0

使用提供的 FastMCP streamable-http 示例重现关闭行为，并检查日志中显示的 streamable_http_manager.py 会话处理。跟踪关闭期间活动连接和任务的处理方式，然后验证在 Inspector 保持连接的情况下，CTRL+C 能够正常退出。