Albion have been drawn away for the third time in this season's Emirates FA Cup.
In the fifth round we will face Wolves at Molineux, with the ties schedule for 28 February, a midweek round.
Ticket information will be confirmed shortly.
Emirates FA Cup fifth round:
Blackburn or Wrexham v Newcastle United
Chelsea or Aston Villa v Leeds United or Plymouth Argyle
Bournemouth v Leicester City
Liverpool or Norwich v Watford or Southampton
Bristol City or Nottingham Forest v Newport County or Manchester United
Wolves v Albion
Sheffield Wednesday or Coventry City v Maidstone United
Luton Town v Manchester City.