Brown hopes to draw the Red Devils in round five after netting twice in a gripping 4-3 win at Bramall Lane.
Asked who he wanted out of the bag, the midfielder said: "I think it's the old favourite, living in Manchester, it's got to be Manchester United away."
While Michael Brown wishes that the Blades face tough opposition in Manchester United I on the over hand would rather we be drawn against a less tougher opponents.
Sadly Wednesday are not in the cup so United can not be drawn against them, but they could be drawn against the likes of Rochdale, Burnley, Norwich City or Stoke City.
The draw for the FA Cup takes place on Monday 27th January 2003 at 1:30pm.