如何在 Kivy GUI 旁边运行 Tornado 事件循环?

My client application uses a Kivy GUI (Kivy has its own event loop) and connects to the server using the WebSocket protocol with Tornado (Tornado also has an event loop). That's why the connection part is asynchronous.
I want the user to interact with the UI while a Tornado client is running an infinite asynchronous loop of listening for server messages.

以下是一些示例代码:
client_test.py

from tornado.ioloop import IOLoop
from tornado.websocket import websocket_connect

class RequestSender:
    url = 'server url here (no scheme)'

    async def _connect(self):
        self.conn = await websocket_connect('wss://' + self.url, io_loop=self.ioloop)
        self.ioloop.add_callback(self._listen)

    async def _listen(self):
        while True:
            print(await self.conn.read_message())

    def __init__(self):
        self.ioloop = IOLoop.current()
        self.ioloop.add_callback(self._connect)

    def run(self):
        self.ioloop.start()

图形界面

from kivy.app import App
from kivy.uix.label import Label
from client_test import RequestSender

class TestApp(App):
    def build(self):
        RequestSender().run()
        return Label(text = "hello")

TestApp().run()

显然，由于 Tornado 的事件循环已经开始较早，它已经接管了程序流程，现在没有出现 GUI 窗口.
我执行 GUI 文件，在 RequestSender().run() 之后执行挂起，因此 build 永远不会返回.