It will be the first game in preparation for the new campaign for the Under-23s.
The Glassboys shot to national prominence in the FA Cup by reaching the Third Round, when they were narrowly defeated by Wycombe Wanderers.
One of their stand out players, defender Dan Scarr - who netted against Wycombe - later joined the Blues ranks after spending time on trial.
Stourbridge finished third in the Evo-Stik Northern Premier League.
The friendly replaces the proposed match at Solihull Moors, which was cancelled.