Newcastle, who defeated the reigning champions Manchester United, will play Chelsea in the quarterfinal draw, while Everton will take on Fulham.
League One Port Vale will play Championship team Middlesbrough in the semi-finals, meaning there will definitely be an EFL club represented.
The quarterfinal ties will be played in the week of Dec. 18.
DRAW:
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Everton v Fulham
Chelsea v Newcastle United
Port Vale v Middlesbrough
Liverpool v West Ham United