Liverpool will face Southampton in the only all-Premier League tie in the quarter-finals of the Capital One Cup.
The Reds gave Jurgen Klopp his first win as Liverpool manager on Wednesday when they downed Bournemouth 1-0, and their reward is a trip to Southampton, who beat struggling Aston Villa 2-1.
After sending Manchester United crashing out, Middlesbrough head to Everton next up, with the Toffees having seen off Norwich on penalties on Tuesday.
Stoke City added to Chelsea's woes on Tuesday when they downed the Blues on penalties, and the Potters will now welcome Sheffield Wednesday to the Britannia Stadium. Wednesday were another Championship side to perform a giant-killing act, with the Owls making light work of Arsenal in a 3-0 victory.
In the final fixture, Manchester City face Hull City at the Etihad, with Hull having disposed of Leicester City in the fourth round.
All ties will be played in the week commencing November 30.
Capital One Cup quarter-final draw:
Middlesbrough v Everton
Southampton v Liverpool
Stoke City v Sheffield Wednesday
Manchester City v Hull City