We will play Arsenal away in the fourth round of the Capital One Cup.
Ties are scheduled to take place in the week commencing 28 October.
The Blues booked our passage courtesy of a 2-0 win at Swindon, while Arsenal beat West Bromwich Albion on penalties.
It will be the first meeting between the sides in the competition since the final in 2007 when, under the guidance of Jose Mourinho, we won 2-1 in Cardiff to secure the trophy.
Ticket details will follow in due course.
Draw in full:
Sunderland v Southampton
Leicester City v Fulham
Birmingham City v Stoke City
Manchester United v Norwich City
Burnley v West Ham United
Arsenal v Chelsea
Tottenham Hotspur v Hull City
Newcastle United v Manchester City