The Moseley match has been scheduled to take place in Glasgow on Friday, August 11.
Former Glasgow favourite Andy Hall played club rugby with Moseley before moving north.
Moseley are coached by former Scottish international flanker, Ian Smith, and his old Gloucester team-mate and fellow-Scot Don Caskie.
As part of their pre-season plans, Glasgow will also entertain the Newcastle Falcons on Friday August 18 (venue and time tbc), with the rematch at Kingston Park on Friday August 25.
Both dates will be double bills, with the clubs' academy teams meeting each other in curtain raisers before the first team clashes.