Come June, NoMad residents will be keeping up with the Clintons.

Chelsea Clinton and her husband, Marc Mezvinsky, are buying a sleek, $10.5 million apartment overlooking Madison Square Park, sources said.

The 5,000-square-foot pad, in The Whitman at 21 E. 26th St., is just a few blocks from the couple’s rented Gramercy Park loft. Sources said staying nearby was a top priority for the pair.

Last Sunday, Clinton, 33, and her husband, 35, planned to take a hush-hush tour of the New Georgian-style pre-war with her parents, former President Bill Clinton and ex-Secretary of State Hillary Clinton.

But when they showed up, the building was swarming with construction workers, a source said.

The former first family wasn’t ruffled, though, and shook hands and posed for pictures with the awestruck workers, the source said.

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