Albion will be ball number 36 in the Carabao Cup Round One draw on Thursday, June 27.
The Baggies have been placed in the Northern Section along with 37 other teams from the Sky Bet Championship, Sky Bet League One and Sky Bet League Two.
The draw will take place at 11:30am and be broadcast live on Sky Sports News.
All sides in the Northern Section are as follows:
1. Accrington Stanley
2. Barnsley
3. Barrow
4. Blackburn Rovers
5. Blackpool
6. Bolton Wanderers
7. Bradford City
8. Burton Albion
9. Carlisle United
10. Chesterfield
11. Crewe Alexandra
12. Derby County
13. Doncaster Rovers
14. Fleetwood Town
15. Grimsby Town
16. Harrogate Town
17. Huddersfield Town
18. Hull City
19. Leeds United
20. Lincoln City
21. Mansfield Town
22. Middlesbrough
23. Morecambe
24. Notts County
25. Port Vale
26. Preston North End
27. Rotherham United
28. Salford City
29. Sheffield United
30. Sheffield Wednesday
31. Shrewsbury Town
32. Stockport County
33. Stoke City
34. Sunderland
35. Tranmere Rovers
36. West Bromwich Albion
37. Wigan Athletic
38. Wrexham
All ties will take place week commencing Monday, August 12.