The former eight-division titleholder had surgery on his right shoulder to repair a torn rotator cuff on May 6. This was following the loss on points to Mayweather over 12-rounds which was the richest fight in boxing history.
In a chat with ESPN.com, Top Rank promoter Bob Arum confirmed that Pacquiao was doing well.
"Manny says he has been doing well. He said he has been feeling better," Arum said.
Arum added that Pacquiao would be returning to the US from the Philippines on July 4 to see his doctor for a follow up exam on the shoulder.
"Manny is coming over to see the doctor and then he will start his serious rehab," Arum said.
"He'll stay here for probably about two weeks and then he will go back to the Philippines.
"One of the rehab guys will go with him to make sure he is doing his rehab program the right way," he added.
Since the welterweight unification bout with Mayweather Arum has been keeping in regular contact with Pacquiao but says he is only expected to be fighting again in the first half of 2016, depending on how his shoulder heals.