Guus Hiddink's side thrashed MK Dons 5-1 on Sunday and will now host the 2011 winners, who beat Aston Villa 4-0 on Saturday.
Manchester United have been handed an away trip to League One side Shrewsbury Town, while Arsenal will meet Hull City in a repeat of the final of two seasons ago and a third-round contest from last year.
AFC Bournemouth host Everton and Tottenham take on Crystal Palace in two all-Premier League affairs, while the winner of the replay between Liverpool and West Ham will travel to face Blackburn Rovers.
The fifth-round fixtures are due to be held over the weekend of February 20 and 21.
Fifth-round draw in full:
Chelsea v Manchester City Reading v West Brom or Peterborough United Watford v Leeds United Shrewsbury Town v Manchester United Blackburn Rovers v Liverpool or West Ham Tottenham v Crystal Palace Arsenal v Hull City AFC Bournemouth v Everton