United must beat Derby County over two legs in order to reach the Carling Cup final.
The semi-final draw, made at 12:20 GMT on Saturday, pitted the Reds away from home in the first match, which will be played in the week commencing 5 January. The second leg will be played in the week commencing 19 January.
In the other semi-final, Burnley will travel to White Hart Lane first to take on Carling Cup holders Tottenham Hotspur.
United have reached the semi-final stage of the competition 10 times before, progressing to the final on six occasions.
The Reds have met Derby Country just twice in the League Cup, back in 1969 in the fifth round. The sides drew 0-0 at The Baseball Ground before a Brian Kidd goal settled the replay at Old Trafford seven days later.
Paul Jewell's Derby side have reached the semi-final stage by beating Lincoln City, Preston North End, Brighton & Hove Albion, Leeds United and Stoke City so far this season.
Ticket news will be announced on ManUtd.com in the coming days.
Carling Cup semi-final draw
Tottenham Hotspur v Burnley
Derby County v United
Semi-finals are two-legged affairs.
First-leg ties will be played week commencing 5 January, second-leg ties week commencing 19 January.
Carling Cup final to be played at Wembley Stadium on 1 March 2009
(source: www.manutd.com, 06/12/2008 12:20, Report by Nick Coppack)