Glavine, 43, will miss his scheduled Saturday start in Pittsburgh.
Glavine started for the Class AA Mississippi Braves Sunday. He gave up three hits and one run with a walk over two innings. In his only at-bat in the game, he experienced discomfort in his left shoulder and pulled himself from the game.
Glavine returned to Atlanta and team staff set up a medical appointment Tuesday. He has been told to rest and have treatment for 2 weeks before being re-evaluated. Glavine will earn a $1 million bonus if he is added to the Braves' active roster.
Glavine underwent successful season-ending elbow and shoulder surgery in the off-season. The two-time Cy Young Award winner was expected to regain form after 4-5 months of rehabilitation to decide if he was healthy enough for a 23rd major-league season.