Dodgers pitcher Zack Greinke is hoping to pitch in a minor-league game Monday, according to MLB.com.

Greinke was able to throw a bullpen session Friday, and has shown improvement with his calf strain. He's not expected to travel with the club to Australia. Instead, Greinke will stay behind and try to pitch against minor-league players in the system. There's still a chance Greinke is able to avoid the disabled list before the start of the season.