Current holders of the FA Cup will take on Luton in the fifth round of the competition this season.
If Chelsea see off Aston Villa in their replay, they get to play either Leeds or Plymouth Argyle.
Surprise package Maidstone United will face either Sheffield Wednesday or Coventry City.
Liverpool will welcome either Watford or Southampton at Anfield.
The ties have been scheduled for the week commencing 26 February.
Full FA Cup fifth-round draw
Blackburn Rovers or Wrexham v Newcastle United
Chelsea or Aston Villa v Leeds United or Plymouth Argyle
Bournemouth v Leicester City
Liverpool or Norwich City v Watford or Southampton
Bristol City or Nottingham Forest v Newport County or Manchester United
Wolverhampton Wanderers v Brighton & Hove Albion
Sheffield Wednesday or Coventry City v Maidstone United
Luton Town v Manchester City