Albion will be ball number 30 in Thursday's Carabao Cup Round One draw.
The Baggies have been placed in the Northern Section along with 33 other teams from the Sky Bet Championship, Sky Bet League One and Sky Bet League Two.
The draw will take place at 4:30pm on Thursday, June 25, and be broadcast live on Sky Sports News.
Matches will take place across the weekend of Saturday, August 8, and Sunday, August 9.
The full list of ball numbers is as follows:
- Accrington Stanley
- Barnsley
- Blackburn Rovers
- Blackpool
- Bolton Wanderers
- Bradford City
- Burnley
- Burton Albion
- Chesterfield
- Crewe Alexandra
- Derby County
- Doncaster Rovers
- Fleetwood Town
- Grimsby Town
- Huddersfield Town
- Lincoln City
- Manfield Town
- Middlesbrough
- Notts County
- Oldham Athletic
- Port Vale
- Preston North End
- Rotherham United
- Salford City
- Sheffield United
- Sheffield Wednesday
- Shrewsbury Town
- Stockport County
- Stoke City
- West Bromwich Albion
- Wigan Athletic
- Wolverhampton Wanderers
- Wrexham
- Tranmere Rovers or Rochdale*
*Tranmere Rovers and Rochdale will engage in a play-off match for a place in the first round on Saturday, August 1.