United will make their third trip of the season to Wembley on either April 18 or 19 when they face Everton in the FA Cup semi final.
The draw was made at 18:45 today. In the other match, Arsenal or Hull will play Chelsea, also at Wembley.
United's ticket office said: "Ticket information will made available once allocations and ticket prices have been agreed."
The fixture follows United's Carling Cup final win on penalties against Tottenham in March and the August Community Shielf triumph, also on penalties, against Portsmouth.
The game means United's league match away to Wigan, originally scheduled for April 19, will be moved, though a new date hasn't been named.