Stanton has been on the 15-day disabled list since April 30 with a Grade 2 right hamstring strain.
"I feel fine," he said. "I've been taking hundreds [of swings] in the cage off the machine. Hitting is no problem at all."
The big test will be running. He's been progressing from an anti-gravity treadmill to doing some light jogging and back-pedaling on the field.
"I was about 60-65 percent, running-wise," Stanton said of his jogging.
He hopes to pick up the pace on running by the time the Marlins return from their upcoming road trip, which will be next Wednesday.
"Hopefully, when they come back, I'll be ready to do the next level," Stanton said.
Manager Mike Redmond threw batting practice to Stanton.
"He looked good," Redmond said. "He looked like he was feeling all right. I didn't ask him how it felt, but just based on results, he hit a bunch of balls out and his swing looked good. I think it's an encouraging sign that he's getting closer to being back on the field."
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter