Albion will take on Newcastle United or Oxford United at The Hawthorns in the Emirates FA Cup Fifth Round.
The League One side held their Premier League counterparts to a 0-0 draw at St. James’ Park on Saturday so will play out a replay next Tuesday.
Oxford currently sit just outside the Play-Off places in the third tier, while Steve Bruce's Newcastle are 14th in the top flight.
The fifth round match is scheduled for the week commencing Monday, March 2.