Albion’s PL2 side have been drawn against Exeter City, Forest Green Rovers and Swindon Town in Group E of the EFL Trophy.
The Baggies, who are in the Southern Section of the competition, will return to the tournament after a season away from it.
The young Throstles will play their first EFL Trophy group game on the week commencing Monday, September 7, with their second fixture set to be played the week commencing Monday, October 5 and their final group clash scheduled for the week of Monday, November 9.
If Albion are to progress, the round of 32 will be played on the week of Monday, December 7, the round of last 16 will take place the week of Monday, January 11, while the quarter-final is scheduled for the week commencing Monday, February 1.
The semi-final will be played on the week of Monday, February 15 and the final is set to be played on Sunday, March 14.
Further details of Albion's EFL Trophy fixtures will be released in due course.