Article updated 16:30, 19/12/13
After seeing off the Potters 2-0 at the Britannia Stadium through goals by Ashley Young and Patrice Evra, the Reds will take on the Black Cats in early 2014.
The first leg against Gus Poyet's side, who beat Chelsea after extra-time in the quarter-finals, is at the Stadium of Light on Tuesday 7 January, with the return at Old Trafford on Wednesday 22 January. Both games kick off at 19:45 GMT.
It's the first time United have reached the last four of this competition since winning it in 2010 and David Moyes will have a return to Wembley in his sights.
"We have a tough semi-final against Sunderland now," the manager said after the game. "It shows you how well Sunderland played to beat Chelsea – they did well. A lot of things can happen between now and then but I’m just really pleased we’ve got ourselves into the semi-finals."
In the other tie, which was drawn by ex-Red Andy Cole and Peter Reid, Manchester City take on West Ham. City are at home first before travelling to Upton Park.
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