McGrady underwent the procedure Friday at an undisclosed location to end the discomfort he experienced in the last two seasons.
The 6-foot-8 inch McGrady was shut down Feb. 11 because of a knee injury before the Rockets qualified for the NBA playoffs. General Manager Daryl Morey told the Houston Chronicle reported the procedure, which followed earlier microfracture knee surgery, will allow more time for McGrady to bounce back.
"It is not an issue that would keep him longer than the other rehab," Morey said. "They cleaned up the shoulder. It is something we talked about for awhile and they had some time now."
The oft-injured McGrady averaged 15.6 points and nearly five assists per contest in 35 games last season.
Notable deaths of 2014 [PHOTOS]