"I can't envision a scenario where he won't be on our postseason roster," Yankees manager Joe Girardi said.
Montero, 21, is hitting .346 (18-for-52) with four homers and 12 RBIs in 15 games for New York, including a three-hit, four-RBI performance in a 9-1 win over the Red Sox on Saturday.
"I've been doing a good job, thank God, and just trying to do my best," Montero said. "I'm helping and doing whatever they want me to do to help the team to win. I don't decide anything else."
With Francisco Cervelli sidelined as he comes back from a concussion, Montero's role in the playoffs could be as the backup catcher to Russell Martin, as well as an option to mash left-handed pitching.
"I feel fine. I've been doing my work, I've been doing my routines every day," Montero said. "Good things are going to happen."