Environment details

• OS: Linux
• Python version: 3.9
• pip version: 20.2.3
• google-auth version: 1.26.1

Steps to reproduce

Consider the following example:

import asyncio

import aiohttp
from google.auth.transport._aiohttp_requests import Request


async def main():
    async with aiohttp.ClientSession() as session:
        req = Request(session)
        assert req.session == session

if __name__ == '__main__':
    asyncio.run(main())

This code will raise AssertionError, because the session argument is ignored in the Request object.

This may also cause runtime warnings about unclosed sessions when AuthorizedSession object is used.