Article updated 31/10/2013, 16:15
The draw was made after Wednesday evening's fixtures in the competition - Manchester City's 2-0 extra-time win at Newcastle and Tottenham Hotspur's 8-7 penalties win over Hull City after their match ended 2-2 at White Hart Lane.
United have previously played Stoke five times in the League Cup. The sides were last drawn against each other in 1993/94 when the Potters won the first leg at their former home, the Victoria Ground. The Reds triumphed 2-0 in the return match, with goals by Brian McClair and Lee Sharpe, to go through 3-2 on aggregate. Current Stoke manager Mark Hughes was in the United line-up that night (6 October 1993).
Since then, the Reds have won 10 out of 11 Premier League meetings with Stoke, most recently in Saturday's thrilling 3-2 comeback at Old Trafford.
The cup tie between the sides will be played at the Britannia Stadium on Wednesday 18 December, with kick-off at 19:45 GMT, and will be screened live in the UK on Sky Sports.
The full fifth-round draw is as follows:
Leicester City v Manchester City
Stoke City v Manchester United
Sunderland/Southampton v Chelsea
Tottenham Hotspur v West Ham United