Jeffress (hamstring) expects to throw another bullpen session Thursday, then face hitters a few days after that, MLB.com's Adam McCalvy reports.

EDGE Analysis

Despite the injury, Jeffress remains in the competition for the closer role, and it sounds like he should get back on the mound in time to make an impression on the decision makers. Given where they are at in terms of team control and big league success, it makes some sense to give Will Smith the closer job and try to flip him at the trade deadline, at which point Jeffress would have a chance to step in. However, Smith's left-handedness leads others to believe Jeffress may have the inside track on breaking camp with the job. We will continue to update his health status and prospective owners should keep an eye on his spring performance when he returns to game action.