Louis Van Gaal’s side will host Championship side, Middlesbrough, having eased past Ipswich 3-nil at Old Trafford on Wednesday night.
Manchester City will welcome Crystal Palace to the Etihad Stadium, while Sheffield Wednesday’s reward for beating Newcastle United is a home game against Arsenal.
There are four other all Premier League ties with Everton playing Norwich, Southampton paired with Aston Villa and Stoke hosting the holders, Chelsea.
Liverpool survived a scare against League Two side, Carlisle, squeezing through 3-2 on penalties at Anfield.
Liverpool will host Bournemouth in the next round.