Joe Girardi mum on who’ll be Yanks’ DH in wild-card game

And the Yankees designated hitter against the Twins in Tuesday night’s wild-card game is . . .

Joe Girardi wasn’t divulging his decision, perhaps because he had not yet made one.

“There’s a lot of things that are going into this,’’ he said Monday. “There are some tough decisions. And those are things that we have talked about for the last three or four days. We’ll probably have one more discussion. I’ll try to inform players who’s going to play so they’re prepared. Obviously, in a situation like this, when you have a lot of quality players, someone’s going to be disappointed, and it’s my job and our job to put what we feel is the best chance for a team to win that game and the way we’re going to approach it.

The Twins are starting righthander Ervin Santana and over his career he hasn’t mastered any of the Yankees DH candidates. He has been hit by Matt Holliday (5-for-12 .417), Chase Headley (4-for-13 .308) and Jacoby Ellsbury (10-for-34 .298).

Ellsbury is in the DH mix only if Girardi does not start him in centerfield over Aaron Hicks, who is hitless in six at-bats against Santana. None of the players involved cared to guess what Girardi will decide.

On Sunday, Holliday acknowledged the tough decision facing Girardi. If Holliday isn’t picked, he’ll be reduced to pinch-hitting.

Headley, who went from third to first to DH this season, said after a workout at the Stadium, “I don’t know anything, either and if I did I wouldn’t tell you, so. He’ll make the decision that he thinks gives us the best opportunity to win.’’

Ellsbury, who did not start in the 2015 wild-card loss to the Astros, wasn’t touching. “We’re just looking forward to playing,” Ellsbury said. “Great opportunity, guys are excited. Like I said our focus is on winning.’’

Hicks knew nothing as well. “No, I have no idea. Of course, I want to play, but no idea.’’

Holliday is a free-agent and is unlikely to return next season. Ellsbury had something of a resurgence in the second half and Headley has done all that has been asked of him. He basically lost his third base job when Todd Frazier was acquired from the White Sox in July.

“I just did it,’’ Headley said of the DH role. “I didn’t really have a choice. I wanted to play as much as I could and that was kind of the role at the time. You just adapt to it . . . You just gotta go out there and do it. You do it more often, you get a lot better at it. It’s certainly different when you’re used to playing every single second of every game.”

Girardi won’t have to worry much about who will be the DH if the Yankees make the World Series. At least in the National League park.