The Yankees added a former MVP to their offseason rebuild on Saturday.

Paul Goldschmidt reached agreement with the club on a one-year contract worth $12.5 million, an industry source confirmed, filling the Yankees’ need at first base.

The deal is still pending a physical.

Goldschmidt, 37, won the National League MVP award with the Cardinals in 2022.

But the seven-time All-Star is coming off a down season by his standards in which he produced a .245/.302/.414 slash line with 22 homers and 65 RBIs.

Goldschmidt will replace Anthony Rizzo, whose option for next season was declined by the Yankees.

Goldschmidt’s average exit velocity (91.2 mph) and hard-hit ball percentage (49.6) remained high last season, according to Statcast.

But his walk rate dropped to a career low 7.2 percent. His hard-hit ball percentage ranked in the 92nd percentile.

His average exit velocity ranked in the 82nd percentile.

After an underwhelming first half for the Cardinals last season, Goldschmidt was more of a force after the All-Star break, with a .799 OPS in his final 62 games.

Goldschmidt also stole 11 bases last season.

Defensively, he was essentially an average player last season at zero outs above average for range.

Goldschmidt won four Gold Glove awards playing for the Diamondbacks.

The Yankees finalized the deal with Goldschmidt a day after another potentially attractive first-base option, Christian Walker, reached agreement with the Astros on a three-year contract worth $60 million.

Pete Alonso had been on the Yankees’ radar, but the slugging first baseman has sought a longer-term deal, and the chances of his return to the Mets seem likelier following Goldschmidt’s agreement in The Bronx.

Since losing the Juan Soto sweepstakes to the Mets, the Yankees’ shopping spree has included the additions of Max Fried and Devin Williams for the pitching staff, with Cody Bellinger and Goldschmidt added to the lineup.

Bellinger has experience playing first base, along with the outfield.

It left the Yankees with the option of pursuing a bat for the outfield or first base following the deal with the Cubs for Bellinger.

The Yankees offered Soto a 16-year contract worth $760 million, but that deal was topped by Mets owner Steve Cohen, who went the final mile to secure the All-Star outfielder.

The Mets signed Soto to a 15-year deal worth $765 million guaranteed.

The total value of the contract could reach $805 million, depending on whether the Mets agree to void an opt-out following the 2029 season by increasing Soto’s annual salary.

It remains to be seen whether the Yankees will add another infielder to replace free-agent Gleyber Torres.

The team last summer acquired Jazz Chisholm Jr. and inserted him at third base.

It leaves the Yankees with the option of moving Chisholm to his natural position, second base, and acquiring a third baseman.

Or the Yankees could leave Chisholm at third and look to fill second with a smaller move.

In house, the Yankees have Oswald Peraza and Oswaldo Cabrera as second-base options.

DJ LeMahieu still has $30 million remaining on his contract over the next two seasons but is viewed more as a possibility to play third than second.

Yankees GM Brian Cashman last week said the door wasn’t shut on re-signing Torres, but even so, such a move appears unlikely at this point.