Liverpool will play Bournemouth in the Carabao Cup quarter-finals while League One Bradford City will host Manchester City.
Fleetwood Town's reward for knocking out Premier League champions Arsenal is a home game against the winner of Everton vs Newcastle on Thursday night.
Crystal Palace will host Sunderland in an all-Premier League clash in the remaining last-eight tie.
The matches will take place during the week commencing December 14.
Carabao Cup quarter-final draw in full...
Fleetwood Town vs Everton/Newcastle
Manchester City vs Bradford
Crystal Palace vs Sunderland
Liverpool vs Bournemouth
Ties to be played week commencing December 14