The following code prints uncaught handler exception but shouldn't

import asyncio
import contextlib
import aiohttp

async def main(url):
    async with aiohttp.ClientSession() as session:
        with contextlib.suppress(Exception):
            async with session.get(url):
                await response.read()

url = 'https://wrong.host.badssl.com'
loop = asyncio.get_event_loop()
loop.run_until_complete(main(url))

Exception is raised, everything is correct except printing non-catched exception in SSL protocol callback.

With PYTHONASYNCIODEBUG enabled the output is:

<asyncio.sslproto.SSLProtocol object at 0x7f10e2212470>: SSL handshake failed on verifying the certificate
Traceback (most recent call last):
  File "/usr/lib/python3.5/asyncio/sslproto.py", line 568, in _on_handshake_complete
    raise handshake_exc
  File "/usr/lib/python3.5/asyncio/sslproto.py", line 201, in feed_ssldata
    self._sslobj.do_handshake()
  File "/usr/lib/python3.5/ssl.py", line 638, in do_handshake
    match_hostname(self.getpeercert(), self.server_hostname)
  File "/usr/lib/python3.5/ssl.py", line 297, in match_hostname
    % (hostname, ', '.join(map(repr, dnsnames))))
ssl.CertificateError: hostname 'wrong.host.badssl.com' doesn't match either of '*.badssl.com', 'badssl.com'
Exception in callback None
handle: <Handle cancelled _SelectorSocketTransport._read_ready() created at /usr/lib/python3.5/asyncio/selector_events.py:232>
source_traceback: Object created at (most recent call last):
  File "3.py", line 13, in <module>
    loop.run_until_complete(main(url))
  File "/usr/lib/python3.5/asyncio/base_events.py", line 375, in run_until_complete
    self.run_forever()
  File "/usr/lib/python3.5/asyncio/base_events.py", line 345, in run_forever
    self._run_once()
  File "/usr/lib/python3.5/asyncio/base_events.py", line 1304, in _run_once
    handle._run()
  File "/usr/lib/python3.5/asyncio/events.py", line 125, in _run
    self._callback(*self._args)
  File "/usr/lib/python3.5/asyncio/selector_events.py", line 232, in add_reader
    handle = events.Handle(callback, args, self)
Traceback (most recent call last):
  File "/usr/lib/python3.5/asyncio/events.py", line 125, in _run
    self._callback(*self._args)
  File "/usr/lib/python3.5/asyncio/selector_events.py", line 669, in _read_ready
    self._protocol.data_received(data)
  File "/usr/lib/python3.5/asyncio/sslproto.py", line 493, in data_received
    ssldata, appdata = self._sslpipe.feed_ssldata(data)
  File "/usr/lib/python3.5/asyncio/sslproto.py", line 201, in feed_ssldata
    self._sslobj.do_handshake()
  File "/usr/lib/python3.5/ssl.py", line 638, in do_handshake
    match_hostname(self.getpeercert(), self.server_hostname)
  File "/usr/lib/python3.5/ssl.py", line 297, in match_hostname
    % (hostname, ', '.join(map(repr, dnsnames))))
ssl.CertificateError: hostname 'wrong.host.badssl.com' doesn't match either of '*.badssl.com', 'badssl.com'