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Featured Image Credit: PA
The Blues cruised into the round of 16 with a 7-1 thrashing of Grimsby in the third round of the cup competition.
Meanwhile, United survived a shock exit against Rochdale after they beat the League One side on penalties.
Here's how to watch all of the action LIVE in the United Kingdom on Wednesday.
What TV channel is it on?
Sky Sports will be showing all of the action LIVE from the League Cup clash at Stamford Bridge.
Coverage for Chelsea vs United will begin on Sky Sports Main Event and Sky Sports Ultra HD from 7.30pm on Wednesday.
And Sky subscribers can stream the action online through Sky Go, with non-Sky subscribers able to pick up a NOW TV pass to stream the clash LIVE.
Sky Go is available on PC, mobile and tablets, while Sky Go Extra also provides access for Xbox and PlayStation owners.
What time is kick-off?
The match will officially start from 8.05pm local time.
What are the other fourth-round League Cup fixtures?
Eight League Cup fixtures will be shown across Tuesday and Wednesday.
Defending Premier League champions Manchester City will be in action against Southampton on Tuesday.
And fellow Premier League sides Aston Villa and Wolves will also do battle on Wednesday.
Chelsea vs United is one of the major League Cup showdowns on Wednesday, while the other has Liverpool host Arsenal at Anfield.
Tuesday: Burton Albion vs Leicester City (7.45pm), Crawley Town vs Colchester United (7.45pm), Everton vs Watford (7.45pm), Manchester City vs Southampton (7.45pm), Oxford United vs Sunderland (7.45pm)
Wednesday: Liverpool vs Arsenal (7.30pm), Aston Villa vs Wolverhampton Wanderers (7.45pm), Chelsea vs Manchester United (8.05pm)