The righty restarted his rehab on May 7. He has allowed just one run over his last 13 innings. Bonser's next turn for Pawtucket should come Friday, after which the Red Sox will huddle and either put Bonser on their roster or perhaps be forced to move him out of the organization.
"He threw the ball pretty well [recently]," Red Sox manaager Terry Francona said. "[Pawtucket manager] Torey [Lovullo] has been real impressed. Again, there's been some ups and downs, but when he's able to go out and compete and he's healthy, he's actually a pretty good pitcher, which we know."