Albion have been drawn at home against League One Luton Town in the first round of the League Cup.
The Baggies entered the first round draw having finished bottom of the Premier League last season.
The game at The Hawthorns will take place on Tuesday 14th August.
It will be the third time the two clubs have faced each other in the League Cup. Albion have won once and drawn once against the Bedfordshire side.