Manchester City got an easier match against Bristol City, after beating Chelsea and Arsenal to reach the fifth round.
Either Tottenham will meet Wrexham or Sheffield United for a place in the quarter-finals.
Antonio Conte’s team is seeking to win the FA Cup for the first time since 1991, after previously winning it 8 times.
Here are the full draw results:
Southampton – Luton or Grimsby
Leicester – Blackburn or Birmingham
Stoke City – Brighton
Wrexham or Sheffield United – Tottenham
Fulham – Leeds
Bristol City – Manchester City
Manchester United – West Ham United
Ipswich or Burnley – Sheffield Wednesday or Fleetwood