Matches will be played in the week commencing 18 December, 2023.
Newcastle beat last season's winners Manchester United 3-0 in a rematch of the 2022-23 final, with West Ham also scoring three times in their 3-1 victory against an Arsenal side that are second in the Premier League.
Liverpool won 2-1 at Bournemouth, Everton easily defeated fellow Premier League side Burnley 3-1, Chelsea beat Championship outfit Blackburn Rovers 2-0 and Fulham also won against second-tier opposition, 3-1 away at Ipswich Town.
Only three of the remaining eight teams - Chelsea, Liverpool and Middlesbrough - have won this trophy, with Everton, Newcastle and West Ham each losing in the final on two occasions apiece.
Carabao Cup quarter-finals
Everton v Fulham
Chelsea v Newcastle
Port Vale v Middlesbrough
Liverpool v West Ham