Hill (knee) is scheduled to throw a bullpen session Thursday, Jen McCaffrey of The Athletic reports.
The veteran left-hander returned to throwing off flat ground last week after a brief shutdown due to the knee sprain, and he'll progress to mound work Thursday. Hill landed on the shelf July 2 with the injury, and it's unclear if he'll require a minor-league rehab assignment before rejoining the Red Sox's rotation after the All-Star break.