Barron Hilton on 'Surprise' Arrival of Sister Paris' Baby Girl London: 'So Happy' (Exclusive)

Hilton revealed to PEOPLE Tuesday that his third baby with wife Tessa Hilton is also due in March

Barron Hilton is happy for his sister Paris!

Speaking exclusively to PEOPLE at his mother Kathy Hilton’s DirecTV XMAS at Kathy’s event on Tuesday, Barron, 34, revealed his excitement after she recently welcomed her baby girl, London.

“We're so happy for them,” Barron tells PEOPLE at the Bel Air, California event. Speaking about how Paris’ second baby came as a surprise to the family, the first son of businessman Rick Hilton says “We did not” have any “idea.”

“They said that they were bringing a magician out and then there was this pink little bundle,” Barron’s wife, Tessa Hilton, adds to PEOPLE.

"So that was quite the surprise," says Barron.

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Related: Paris Hilton Opens Up About Newborn Daughter London and Being in Her 'Mom Era': 'My Best Era Yet' (Exclusive)

According to Barron, it’s his sister's “dream” to be able to dress up her little girl. “It's gonna be so cute,” he tells PEOPLE, adding that he got his niece “some little clothes.”

As well as baby London, Paris shares a 10-month-old son, Phoenix Barron, with her husband, Carter Reum.

Related: Paris Hilton Addresses Online Comments Made About Son Phoenix: 'Mama Bear Instincts Came Out' (Exclusive)

Like his sister, Barron will also be welcoming a new addition in March, Tessa tells PEOPLE — although they're keeping news of whether it's a boy or girl "secret."

The couple have been married since 2018 and are currently parents of daughter Milou Alizée, 3½, and son Caspian Barron, 14 months.

“We’ll be outnumbered,” Tessa jokes to PEOPLE. “But I feel like once you do two, then you can do three. You just get used to it.”

Tessa goes on to explain that she can’t imagine life without her children. “The memories. I mean, it's hard now to imagine even when it's just Barron, Milou and myself on the beach and Caspian’s napping we're like, there's something missing.”

“So it just keeps growing and it just keeps getting fuller. And the memories just keep getting better,” she tells PEOPLE.

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