Add Derek Jeter to the list of high-profile and pricey Yankees who will start the season on the shelf.

One day after getting four at-bats in a minor league game in which he was the designated hitter and didn’t run anywhere close to full speed, Jeter told the Yankees’ training staff yesterday his surgically repaired left ankle was sore.

“He is not ready for the full duty, so it’s obviously looking more likely than not that he will start the season on the [disabled list],’’ general manager Brian Cashman said at Steinbrenner Field before a 7-6 win over the Rays. “The more realistic goal is April 6. Right now he is a little sore.’’

After experiencing soreness in the front of the ankle last Tuesday when he was scratched from a big league exhibition game and received a cortisone injection the next day, Jeter’s soreness has found a new place.

“Now it’s toward the back,’’ Cashman said. “We are going to back off a bit. It’s not significant. It’s significant that we don’t have him yet, but there is nothing new going on other than the growing pains he has as he goes through the rehab.’’

Jeter, who fractured the ankle in Game 1 of last year’s ALCS, didn’t play in a minor league game yesterday and likely won’t play today.

Cashman said he is comfortable with Eduardo Nunez replacing Jeter at short. Jayson Nix can also play the position.

So when the Yankees face the Red Sox a week from today at Yankee Stadium in the season opener, they will be without three-fourths of their infield. Alex Rodriguez (hip) and Mark Teixeira (wrist) will join Jeter on the DL. Only Robinson Cano is healthy.