Willingham, who injured his shoulder trying to make a leaping catch in left field on Sept. 24, is still having trouble swinging the bat.
"He can't reach up with his left arm or finish his swing with his left arm, so in my opinion he probably won't be in there the rest of the way," Twins manager Ron Gardenhire said. "But I'm just guessing. I don't want to say he's out for the year because he hasn't told me, and the trainers haven't told me."
Twins general manager Terry Ryan also wouldn't fully confirm that Willingham will be out the last two games of the season, but said it's likely he won't play.
"It's pretty much up to Josh," Ryan said. "He has been day to day and he still is day to day, and we're running out of days."