The game will take place at The Hawthorns with a 7pm kick-off.
Tickets are priced at £5 adults and £1 for under-18s.
The Baggies reached the final having topped their group before recording knockout victories over QPR, Derby County and Fulham respectively.
Wolves secured their spot in the competition’s showpiece event by beating Middlesbrough 3-2 at Molineux in the last four.
