On Monday, he will throw his third bullpen session since returning from surgery.
"If that goes well, maybe I'll throw another bullpen [session] or maybe a simulated game," McGee said.
Regardless of whether the Rays are still in contention by the final week of the season, McGee wants to return to the mound before the season's close. Based on how his rehab is progressing, he feels confident of doing so.
McGee, who began the season on the DL after minor left elbow surgery, is 1-2 with a 2.57 ERA and six saves in 36 appearances.