Blues will travel to League Two side in January
City will face Swindown Town in the FA Cup third round, following the draw on Monday evening. The tie will be played at the County Ground on the weekend commencing Friday 7th January 2022.
The Robins qualified courtesy of a 2-1 victory against Walsall in the previous round, and have been rewarded with a tie against the Premier League champions.
"It's going to be a fantastic day whatever [the result] for Swindon fans, which is really well deserved given the trials and tribulations we've been through over the past few years," said Swindon CEO Rob Angus.
"It's fantastic to have such a huge world power at the County Ground and great for the whole of the town and surrounding area. It'll get a real buzz leading up to the game."
Third round draw in full:
Boreham Wood v AFC Wimbledon
Yeovil Town v Bournemouth
Stoke City v Leyton Orient
Swansea City v Southampton
Chelsea v Chesterfield
Liverpool v Shrewsbury Town
Cardiff v Preston North End
Coventry City v Derby County
Burnley v Huddersfield
West Bromwich Albion v Brighton and Hove Albion
Kidderminster Harriers v Reading
Leicester City v Watford
Mansfield Town v Middlesbrough
Hartlepool United v Blackpool
Hull City v Everton
Bristol City v Fulham
Tottenham Hotspur v Morecambe
Millwall v Crystal Palace
Port Vale v Brentford
Swindon Town v Manchester City
Wigan Athletic v Blackburn Rovers
Luton Town v Harrogate Town
Birmingham City v Plymouth Argyle
Manchester United v Aston Villa
Wolverhampton Wanderers v Sheffield United
Newcastle United v Cambridge United
Barnsley v Ipswich Town or Barrow
Peterborough United v Bristol Rovers
West Ham United v Leeds United
Queens Park Rangers v Rotherham
Charlton Athletic v Norwich City
Nottingham Forest v Arsenal