Mark Teixeira’s rehab continued in Tampa yesterday, as the first baseman did soft-toss and took 20 swings of live batting practice in the cage.

“I’m not [hitting] on the field yet,’’ Teixeira said. “When you get out on the field you tend to hit home runs and let it go a little more. I’ll be on the field probably in a couple days.”

It’s a little easier for Teixeira to be patient with his wrist injury thanks to the production the Yankees have gotten from his replacement at first base, Lyle Overbay.

Overbay has gone from someone who was released by Boston on March 26 and wasn’t even sure he wasn’t going to meet the same fate with the Yankees at the end of spring training to becoming one of the team’s most clutch players during a surprisingly successful first month.

His most recent big hit came Sunday, when his two-out, two-run single tied the game in the sixth inning against the A’s. The Yankees went on to lose, but they’ll play tonight in Colorado with an 18-12 record.

Since working with hitting coach Kevin Long, Overbay has seen his power return.

After hitting just two homers for the Diamondbacks in 110 plate appearances and none in 21 for the Braves, Overbay has gone deep five times since joining the Yankees.

“I was with Kansas City and he was with Arizona [in the minors] and admired his swing for a long time,” Long said. “But I always thought he could incorporate his lower half more.”