"I don't think about that. I think about beating Oakland," he said Tuesday. "That's not going to have any effect on me. I think about beating the Oakland Athletics tonight and get into the playoffs. That situation will take care of itself at the proper time, and now, obviously, is not the proper time."
Leyland is currently on a one-year contract he signed last August.
In Cleveland, Leyland said he wouldn't speak to the media about it because he didn't want to be a distraction. He maintained that stance Tuesday, but revealed he's not being silent about it with just the media.
"If I had information for you, I would give it to you, but I have none. I haven't discussed my situation with anyone nor has my situation been discussed with me," Leyland said. "And I don't want to discuss my situation with anyone nor do they want to discuss it with me right now. We're trying to win a division."