July 18, 2014 09:00 AM

Michael Buckner/Getty

Is Rachel Bilson thinking pink?

The Hart of Dixie actress and her longtime love, boyfriend Hayden Christensen, are expecting a daughter, a source tells PEOPLE.

A rep for Bilson denies the report and calls the source’s claim “speculation and gossip.”

Although the mom-to-be and the actor have stayed mum on pending parenthood — and have yet to officially announce they will welcome their first child together — sources confirmed to PEOPLE in May that Bilson was pregnant.

But when Bilson, 32, was spotted walking on a beach in Barbados, she let her belly do all the talking, showing off her bump in a patterned two-piece.

“I’ve always looked young because I’m so short, and especially if I’m dressed down. When I have a baby, everybody’s going to be like, ‘Awww, poor teen mom. Poor girl,’ ” she has joked in the past.

— Anya Leon with reporting by Jennifer Garcia

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