Albion will be ball number six in Monday night’s Emirates FA Cup fourth-round draw.
The Baggies secured their spot in the last 32 with a 1-0 win at Charlton Athletic on Sunday.
Baggies fans can watch the draw live on BBC One and the BBC Sport website from 7.30pm.
Emirates FA Cup fourth-round draw numbers:
1. Leicester City
2. Queens Park Rangers
3. Fulham
4. Chelsea
5. Wolverhampton Wanderers or Manchester United*
6. West Bromwich Albion
7. Rochdale or Newcastle United*
8. Cardiff City or Carlisle United*
9. Oxford United
10. Sheffield United
11. Southampton
12. Liverpool
13. Bristol City or Shrewsbury Town*
14. AFC Bournemouth
15. Sheffield Wednesday
16. Bristol Rovers or Coventry City*
17. Barnsley
18. Manchester City
19. Middlesbrough or Tottenham Hotspur*
20. Reading or Blackpool*
21. Watford or Tranmere Rovers*
22. Norwich City
23. Millwall
24. Derby County
25. Hull City
26. Brentford
27. Portsmouth
28. Arsenal or Leeds United
29. West Ham United
30. Northampton Town
31. Burnley
32. Birmingham City
*Games drawn and ties to be replayed