Carrasco (leg) has been able to jog lightly, Ryan Lewis of the Akron Beacon Journal reports.
Per manager Terry Francona, most of Carrasco's work has been limited to in a pool, but it's an encouraging sign that he's been able to run less than two weeks since suffering a hamstring strain. The pitcher's initial timetable of 4-to-6 weeks looks to still be in range, so it's possible he could be ready by the start of June.