Manager Terry Francona said Brantley will test his injured right ankle in the outfield at Yankee Stadium on Saturday's workout day. A decision likely will be made after the workout.
Brantley missed 50 consecutive games due to the injury before being activated from the disabled list last Saturday.
The two-time All-Star will be available as a pinch hitter for Friday's Game 2.
Brantley missed the 2016 postseason due to a shoulder injury. He batted .299 with nine homers and 52 RBIs in 90 regular-season games and was a member of the American League All-Star team.
"He helps us win," Francona said of Brantley. "I'm excited for him because last year he missed out. This year, with a lot of hard work, he's now going to be a part of what we're doing.
"I know it will mean a lot to him, and because of that, it means a lot to us."