The eight teams left in the FA Cup this season have been drawn against each other.
The draw for the quarter-final was conducted after Wednesday’s matches.
Manchester United, who came from behind to beat West Ham 3-1, will host Fulham.
Their rivals Manchester City welcome Burnley to the Etihad, while Brighton take on Grimsby.
FA quarter-final draw in full:
Man City vs Burnley
Man Utd vs Fulham
Brighton vs Grimsby
Sheffield Utd vs Blackburn