The Tigers selected Jung's contract from Triple-A Toledo on Friday.
The first-round pick is set to make his major-league debut after hitting .257/.377/.454 with 14 home runs and 60 RBI over 414 plate appearances this season with Toledo. A left-handed batter, Jung will be the Tigers' primary third baseman versus righties, but it's unclear whether the team also plans to play him regularly against southpaws.