The match was originally scheduled to take place at Ray Hall Lane on Tuesday, 6th November but has been postponed as the Saddlers' first-team fixture against Charlton Athletic has been rearranged for the same date.
The Saddlers and Shrews are joined in the South Central group by Burton Albion and Bristol Rovers.
Walsall, who are managed in the competition by Development Coach John Ward, will now face the Brewers at St George's Park on Wednesday, 3rd October, before taking on Bristol Rovers at Yate Town on Tuesday, 11th December.