The Premier League giants managed to avoid one another in the fourth round draw for the FA Cup.
Chelsea will meet either Southend United or Brentford while Aston Villa travel to Millwall.
Manchester City will take on either Crystal Palace or Stoke City while Manchester United or West Ham will host either Fulham or Blackpool.
Luton, who are in the fifth tier of English football, were handed a match against Norwich City after being Championship side Wolves.
The games will be played over the weekend of January 26/27.
Full fourth round draw:
Norwich City v Luton Town
Oldham Athletic v Mansfield Town/Liverpool
Macclesfield Town v Wigan Athletic/Bournemouth
Derby County v Blackburn Rovers
Hull City/Leyton Orient v Barnsley
Middlesbrough v Aldershot
Millwall v Aston Villa
Leeds United/Birmingham City v Tottenham Hotspur
Brighton & Hove Albion v Swansea City/Arsenal
Crystal Palace/Stoke City v Manchester City
West Ham United/Manchester United v Fulham/Blackpool
Southend United/Brentford v Chelsea
Reading v Sheffield United
Huddersfield Town v Leicester City
QPR/West Brom v Sheffield Wednesday/MK Dons
Bolton Wanderers/Sunderland v Cheltenham/Everton