Manager Torey Lovullo said Saturday that Lawlar (hamstring) has been cleared for all baseball activities other than full-speed running, Alex Weiner of ArizonaSports.com reports.
Lawlar initially landed on the injured list June 20 with a strained right hamstring, so his ability to run at full speed will be a key factor in determining when he can potentially begin a rehab assignment with one of Arizona's minor-league affiliates. He's currently expected to return sometime in late July or early August, though that could be pushed back if he continues to struggle ramping up his running progression.