Brantley underwent an MRI on Friday in Cleveland, and the results yielded no serious damage to his left ankle, which he injured in Thursday's win over the Royals.
The swelling in Brantley's ankle was down on Friday, and he walked without an orthopedic boot on Saturday. He's expected to participate in baseball activities on Sunday in Cleveland. The injury wasn't severe enough to land Brantley on the disabled list, and the club opted to play a man short for the series against the Tigers.
The Indians' off-day on Monday will also give Brantley's ankle an extra day to recover.
"He continues to make improvements," Acta said. "[Sunday] he's going to progress to play catch and hit off a tee. We are happy with the progress he's making. We are pretty sure he probably will be playing next homestand."
Brantley's return will be welcomed by the club, as he was batting .327 (16-for-49) in 12 games since being recalled from Triple-A Columbus on Aug. 6.