Sixth-tier Maidstone United will face either Sheffield Wednesday or Coventry City in the FA Cup fifth round.
The National League South side, who eliminated Championship club Ipswich Town at Portman Road, are the lowest-ranked team still in the competition.
Holders Manchester City will travel to fellow Premier League side Luton Town while Liverpool will host either Watford or Southampton at Anfield.
The ties will be played during the week commencing 26 February.
There is an all-Premier League tie between Wolves and Brighton, while Newcastle United will travel to either Blackburn Rovers or Wrexham.
Manchester United survived a Newport County fightback at Rodney Parade in the late game on Sunday to secure a trip to either Bristol City or Nottingham Forest.
FA Cup fifth-round draw in full
Blackburn Rovers or Wrexham v Newcastle United
Chelsea or Aston Villa v Leeds United or Plymouth Argyle
Bournemouth v Leicester City
Liverpool v Watford or Southampton
Bristol City or Nottingham Forest v Manchester United
Wolverhampton Wanderers v Brighton & Hove Albion
Sheffield Wednesday or Coventry City v Maidstone United
Luton Town v Manchester City