The finance and insurance giant AIG may be the next company to stake out a spot at 1271 Avenue of the Americas.

The “it” building undergoing a huge renovation has commitments from Major League Baseball, Mizhuho Americas, Latham & Watkins, Bessemer Trust and Blank Rome.

With just one large tranche left, AIG is likely zeroing in on 150,000 to 200,000 square feet on the 20th through 24th floors. While sources said a lease is out, that doesn’t mean a deal is anywhere near completed. “It could take months,” advised one source.

And in the current tenant-centered world of real estate, it may even have leases from other properties as well as from its current buildings hoping it will remain in place.

AIG has been headquartered in its owned buildings and others centered on Wall Street, so the leap to Midtown will be a game-changer for its culture.

A JLL team led by Peter Riguardi represents AIG, while the Rockefeller Group ownership has a CBRE team led by Mary Ann Tighe working on the leasing. The parties declined to comment.