The 23-year-old has been on the disabled list since April 30 with a strained right hamstring.
Jupiter played a doubleheader on Tuesday, and Stanton started in right field in the first game, going 0-for-3 before leaving in the sixth. The outfielder did not start the nightcap.
The Marlins are hopeful Stanton and first baseman Logan Morrison, who is playing in rehab-assignment games at Double-A Jacksonville, will return sometime in another week or so.
"These guys are going to be a big boost and energy lift for us," manager Mike Redmond said. "In Spring Training, we talked about having a team together, and we haven't even come close to having that team together the whole year."
The rotation also could be getting a lift as Nathan Eovaldi could be back in a week.
Eovaldi, recovering from right shoulder inflammation, made his third rehab start -- and first for Jacksonville -- on Tuesday night. Eovaldi gave up three runs in the first inning before settling down and finishing with four runs allowed in 4 2/3 innings
Barring a setback, Eovaldi's next start could be with the Marlins.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter