With his ankle taped, the 23-year-old right fielder participated in a number of pregame warmups before Miami's series opener against the Braves at Marlins Park.
"Best case, tomorrow he's ready to go," Miami manager Mike Redmond said. "But it really is up to him. We're going day to day. When he says he is good to go and ready to play, he will play."
Stanton rolled his ankle on the first-base bag while attempting to beat out a grounder in Atlanta on Sept. 1.
He had been playing through some discomfort, but on Saturday night, he experienced more severe pain and was replaced in the eighth inning in Miami's 9-2 loss to the Nationals.
On Sunday, Stanton was given the whole day off, and he received treatment.
Chris Coghlan has replaced Stanton in right field, and Justin Ruggiano is playing center while batting cleanup.
Depending on how he feels Tuesday, there is a chance Stanton could return to the lineup for the second of four games with the Braves.
"We'll see how he feels," Redmond said.
Joe Frisaro is a reporter for MLB.com. He writes a blog, called The Fish Pond. Follow him on Twitter