United will travel to Stamford Bridge after seeing off Newcastle 2-1 at Old Trafford while the Blues hammered Wolves 6-0 in the last round on Tuesday night.
Holders Liverpool will welcome Swansea to Anfield in a match which will see Reds boss Brendan Rodgers go up against his former club.
Manchester City's conquerors Aston Villa were rewarded for knocking out the Barclays Premier League champions with a trip to Swindon.
Arsenal, 6-1 winners over Coventry, will travel to Reading, while north London rivals Tottenham also progressed and are now set for a meeting with Norwich at Carrow Road.
Leeds, who ended Everton's hopes, will be at home to Southampton.
There will be a north-east derby at the Stadium of Light as Sunderland take on Middlesbrough - the teams met in the FA Cup last season.
Wigan will host the lowest-ranked side left in the competition, npower League Two outfit Bradford.
The ties will be played in the week commencing October 29.
Source: PA
Source: PA