Manchester United will face Tottenham Hotspur in the Carabao Cup quarter-finals.
Defending champions Liverpool are set to play against Premier League strugglers Southampton.
Arsenal will host Crystal Palace in a London derby, while Newcastle United welcome Brentford.
These quarter-final matches are scheduled for the week of 16 December.
This marks the first time in 14 years that no EFL club has reached the League Cup quarter-finals.
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In the fourth round, Spurs triumphed over Manchester City, while United, led by interim boss Ruud van Nistelrooy, defeated Leicester 5-2 and hope to have Ruben Amorim in charge by then.
EFL Cup quarter-finals:
Tottenham v Manchester United
Arsenal v Crystal Palace
Newcastle v Brentford
Southampton v Liverpool