Manchester United will visit Tottenham Hotspur in the Carabao Cup quarter-finals.
Holders Liverpool will visit Premier League strugglers Southampton.
Arsenal host Crystal Palace in a London derby, while Newcastle United are at home to Brentford.
The quarter-final ties will take place in the week of 16 December.
It is the first time in 14 years there have been no EFL clubs in the League Cup quarter-finals.
Spurs beat Manchester City in the fourth round, while United - who beat Leicester 5-2 under interim boss Ruud van Nistelrooy - will 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