Manchester United's reward for beating holders Manchester City 1-0 in the EFL League Cup is a home quarter-final with West Ham.
Slaven Bilic's side beat Chelsea 2-1 to make it through to the last eight.
Southampton go to Arsenal after a 1-0 victory over Sunderland.
In the other last-eight ties Liverpool will welcome Championship side Leeds to Anfield, while Hull City also host second-tier opposition in the shape of in-form Championship high-flyers Newcastle United.
Those fixtures will be played on Tuesday, November 29th.
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