Albion will travel to Norwich City in the fourth round of the Emirates FA Cup.
The Baggies, who were ball number 19 in the draw, will head to Carrow Road for the second time this season, with the tie set to take place from February 13-16.
Both sides met for Sky Bet Championship action back in November, where a Josh Maja strike was enough to secure all three points in Norfolk.
The two teams have met four times in the Emirates FA Cup, most recently at The Hawthorns. The fourth-round tie in 2012 saw the Canaries run out 2-1 victors thanks to strikes from Grant Holt and Simeon Jackson, either side of a Marc-Antoine Fortuné equaliser.
Norwich booked their place in round four courtesy of a 5-1 win over Walsall at Carrow Road, meanwhile the Baggies enjoyed a dramatic penalty shootout victory against Swansea City in South Wales.
Full fixture and ticketing details will be announced in due course.
