Paulino, who made only one rehab appearance before coming down with shoulder soreness, will begin a throwing program on flat ground, and his timetable for a return to the mound will be determined by how quickly he progresses.
The club hasn't ruled out Paulino pitching in September, but winter ball appears to be a more realistic goal.
"We hope at some point in September we'd see him," assistant general manager Dave Gottfried said. "Or that plus in winter ball, in a controlled environment."
Bursitis is a painful inflammation of the bursae, small fluid-filled sacs that cushion pressure points between the bones and the tendons and muscles near the joints.
Bursitis occurs when a bursa becomes inflamed, at which time movement or pressure is painful.
Alyson Footer is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.