In Python 3.8 p2p_invalid_messages.py fails because of the following warning python produce:
2020-01-15T13:02:14.486000Z TestFramework (INFO): Initializing test directory /tmp/bitcoin_func_test_3xq0f6uh
./test/functional/p2p_invalid_messages.py:154: DeprecationWarning: "@coroutine" decorator is deprecated since Python 3.8, use "async def" instead
asyncio.run_coroutine_threadsafe(asyncio.coroutine(swap_magic_bytes)(), NetworkThread.network_event_loop).result()
2020-01-15T13:02:15.306000Z TestFramework (INFO): Sending a bunch of large, junk messages to test memory exhaustion. May take a bit...
2020-01-15T13:02:17.971000Z TestFramework (INFO): Waiting for node to drop junk messages.
2020-01-15T13:02:18.042000Z TestFramework.mininode (WARNING): Connection lost to 127.0.0.1:12826 due to [Errno 104] Connection reset by peer
2020-01-15T13:02:18.141000Z TestFramework (INFO): Sending a message with incorrect size of 2
2020-01-15T13:02:18.293000Z TestFramework (INFO): Sending a message with incorrect size of 77
2020-01-15T13:02:18.344000Z TestFramework.mininode (WARNING): Connection lost to 127.0.0.1:12826 due to [Errno 104] Connection reset by peer
2020-01-15T13:02:18.445000Z TestFramework (INFO): Sending a message with incorrect size of 78
2020-01-15T13:02:18.597000Z TestFramework (INFO): Sending a message with incorrect size of 79
2020-01-15T13:02:18.902000Z TestFramework (INFO): Stopping nodes
2020-01-15T13:02:19.154000Z TestFramework (INFO): Cleaning up /tmp/bitcoin_func_test_3xq0f6uh on exit
2020-01-15T13:02:19.154000Z TestFramework (INFO): Tests successful
so as it says I replaced the co-routine with async def which IIUC is supported since Python 3.5, so this makes the test pass both on 3.5+ and on 3.8
https://docs.python.org/3.5/library/asyncio-task.html ("The async def type of coroutine was added in Python 3.5, and is recommended if there is no need to support older Python versions")