Kimbrel threw a successful 20-pitch bullpen Monday, Pete Abraham of the Boston Globe reports.
Kimbrel was placed on the disabled list on July 9, with a timetable of a 3-to-6 weeks. It looks like he's currently on the front side of that timetable, with a return of next week looking more likely. Kimbrel will need to have another strong session or two before going on a rehab assignment.