Greene (hamstring) took live batting practice Saturday against right-hander Casey Mize (hamstring), but the outfielder has yet to resume full running, MLB.com reports.
Though Greene checked out fine after taking swings against Mize, being able to run the bases and move laterally in the outfield without issue remains a major obstacle he'll need to clear in his recovery from a right hamstring strain before he'll be able to play in simulated games and/or head out on a minor-league rehab assignment. Based on where he currently stands in his recovery, Greene wouldn't seem to be a realistic option to return from the 10-day injured list during the upcoming week.