Michelle Obama is headed to New York on Feb. 20, and Page Six has learned that her agenda includes a stop at Jimmy Fallon’s “Tonight Show” during the new host’s first week on the job.

Fallon takes the reins from Jay Leno on Feb. 17, with Will Smith as his first guest and U2 performing.

We hear that before taping her segment for Fallon, the first lady will attend a DNC lunch at the Union Square loft of donor Maneesh Goyal.

A source said the event will include “about 20 guests” at the swanky apartment who will engage in an off-the-record conversation with Mrs. Obama. Seats are going for $10,000.

A “cool downtown crowd” is expected, our source said. But the guest list has not been finalized.