Dean Holdsworth's Shots, currently 11th in npower League Two, edged League One Rochdale 2-1 in midweek to secure their place in the last 16.
And they have been rewarded with a dream tie at home to the reigning Barclays Premier League champions after Sir Alex Ferguson's side comfortably beat Leeds 3-0 at Elland Road.
Bring on United! Aldershot celebrate their Carling Cup win over Rochdale
CARLING CUP DRAW Wolves v Manchester City, Cardiff v Burnley, Blackburn v NewcastleArsenal v Bolton, Stoke v LiverpoolAldershot v Manchester United,Crystal Palace v Southampton,Everton v Chelsea
The draw produced five all-Premier League games, with Wolves hosting Manchester City, Blackburn at home to Newcastle, Arsenal playing Bolton, Stoke entertaining Liverpool and Everton welcoming Chelsea to Goodison Park.
Cardiff will be at home to fellow Championship outfit Burnley while Crystal Palace host Southampton.
All fourth-round ties will be held in the week commencing October 24.
CARLING CUP LIVE: All the thrills and spills from Wednesday's action as it happenedAldershot 2 Rochdale 1: Shots's cup run continues thanks to late Hylton winnerCARLING CUP LIVE: All the thrills and spills from Tuesday's action as it happenedAndy Townsend: Let's all be up for this cup! Too many clubs want 17th place, instead of glory day at Wembley