Albion have been drawn away to Forest Green Rovers in the second round of the Carabao Cup.
Rovers beat Leyton Orient in the first round, while Albion enter the competition at this stage.
Second round fixtures are due to be played week commencing 22 August, with a fixture date, kick-off time and ticket details to be confirmed in due course.
Northern Section
Bolton Wanderers v Aston Villa
Derby County v West Bromwich Albion or Sheffield United
Wolverhampton Wanderers v Preston North End
Leeds United v Barnsley
Fleetwood Town v Everton
Sheffield Wednesday v Rochdale
Tranmere Rovers v Newcastle United
Rotherham United v Morecambe
Barrow v Lincoln City
Stockport County v Leicester City
Bradford City v Blackburn Rovers
Grimsby Town v Nottingham Forest
Shrewsbury Town v Burnley
Southern Section
Stevenage v Peterborough United
Norwich City v AFC Bournemouth
Newport County v Portsmouth
Oxford United v Crystal Palace
Watford v Milton Keynes Dons
Colchester United v Brentford
Wycombe Wanderers v Bristol City
Walsall v Charlton Athletic
Crawley Town v Fulham
Cambridge United v Southampton
Gillingham v Exeter City