White Sox manager Will Venable said Sunday that Murakami (hamstring) is increasing the intensity of his hitting and running at about 80 percent intensity, Scott Merkin of MLB.com reports.
Murakami received a platelet-rich plasma injection for his Grade 2 right hamstring strain after landing on the shelf in late May, after which he was given an initial recovery timeline of 4-to-6 weeks. The 29-year-old may require a minor-league rehab assignment before coming off the injured list, but he appears to be tracking toward a return before the All-Star break.