After undergoing Tommy John Surgery last season, Hill returned to the Red Sox on April 27, but he suffered a left elbow strain that has kept him out of action since June 8.
Hill pitched a perfect inning on Monday for Triple-A Pawtucket.
"I think he's ready," said manager Bobby Valentine. "I think he'll be ready to pitch here on Sept. 1. He pitched the back to back days, felt good afterwards and he's had very good results."
Another pitcher who could resurface at some point is righty Scott Atchison, who initially thought he might have to have Tommy John surgery, only to have doctors recommend to try rest and rehab.
Atchison was one of Boston's best pitchers prior to the All-Star break.
"We're hopeful," Valentine said. "That's the word. He's trying. He's throwing enough where it looks like he can do it. We'll see."