Middlesbrough will face Everton in the Capital One Cup quarter-finals after knocking out Manchester United on penalties in the fourth round.
Manchester City are at home to Championship side Hull while Stoke, who beat holders Chelsea, host Sheffield Wednesday, who knocked out Arsenal.
The only all-Premier League tie sees Southampton host Liverpool, who beat Bournemouth.
The last-eight ties will take place from the week commencing 30 November.
Draw for the Capital One Cup quarter-finals
Middlesbrough v Everton
Southampton v Liverpool
Stoke City v Sheffield Wednesday
Manchester City v Hull City