United will travel to Stamford Bridge after seeing off Newcastle 2-1 at Old Trafford on Wednesday night. The Blues hammered Wolves 6-0 in the last round on Tuesday.
Holders Liverpool will welcome Swansea to Anfield in a match which will see Reds boss Brendan Rodgers go up against his former club.
Liverpool came from behind to see off West Brom on Wednesday night, while the Swans scraped past Crawley on Tuesday.
Capital One Cup fourth round draw:
Sunderland v Middlesbrough
Swindon v Aston Villa
Wigan v Bradford
Leeds v Southampton
Norwich v Tottenham
Liverpool v Swansea
Chelsea v Man Utd
Reading v Arsenal
Ties to be played week commencing October 29.