Boxberger (oblique) is tentatively scheduled to throw off a mound Thursday, the Tampa Bay Times reports.

Boxberger played catch Monday for the first time since May 31, the date of his last appearance in a game. His recovery timetable was initially estimated at four-to-eight weeks, and while it's now clear he won't hit the low end of that range, it's still possible he could fall in the middle. The Rays likely hope to have him back either shortly before or after the All-Star break.

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