Albion will face Stourbridge in the semi-final of the Birmingham Senior Cup on Thursday, April 6 (ko 7.45pm).
The tie will be played at the Glassboys' War Memorial Athletic Ground.
The Baggies have progressed to the last four of the competition courtesy of victories over Stratford Town, Hednesford Town and Redditch United.
Stourbridge compete in the Southern League Central Division and are currently sat in mid-table.
Ticket details for the fixture will be announced closer to the time.
