March 05, 2015 05:08 PM

She’s best known for barely-there ensembles, but the 2015 Sports Illustrated Swimsuit issue‘s cover girl Hannah Davis says she prefers comfy duds to tiny two-pieces.

Courtesy Reebok

“Gosh, I feel like I’ve lived such a low-key lifestyle. If I’m not going to events, I’m just kind of in my sweatpants, glasses and a messy bun,” Davis, 24, told PEOPLE at Reebok’s ZPump launch in N.Y.C. Wednesday. “No one would recognize me in the supermarket with my nephew and sister.”

Insists the model: “I get a lot of help from people who get me glammed up! That’s not the average Hannah.”

RELATED PHOTOS: How much bronzer? How many bikinis? Sports Illustrated Swimsuit 2015 by the numbers!

Davis has joined Tyra BanksHeidi Klum and Christie Brinkley in the Swimsuit cover club but says life hasn’t changed all that much.

“My day-to-day life is pretty normal. My family’s a huge part of who I am, so I think they keep it relatively normal for me,” says the cover girl, who’s dating baseball player Derek Jeter. “When you’ve got close people around you, it doesn’t seem like anything’s that different.”

Think she can really keep her glam under wraps?

—Jeff Nelson

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