Manchester City will play Chelsea, while Arsenal are at home to Liverpool in the FA Cup fifth round.
Everton boss Roberto Martinez will face one of his former clubs, Swansea, while Sunderland will host Southampton in the the other all-Premier League tie.
Premier League strugglers Cardiff are at home to holders Wigan, Hull travel to Brighton and Sheffield Wednesday host fellow Championship side Charlton.
The games will be played on the weekend of 15-16 February.
