Paris Hilton Opens Up About New Baby Girl's Name, Says She's Been 'Been Planning This Forever'

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Hilton shares her two kids with husband Carter Reum

<p>Paris Hilton/Instagram</p> Paris Hilton with son Phoenix (L) and announcing her daughter

Paris Hilton/Instagram

Paris Hilton with son Phoenix (L) and announcing her daughter's arrival on Thanksgiving (R).

Paris Hilton has had her daughter's adorable name in mind for quite some time.

While appearing on The Kelly Clarkson Show on Wednesday, the DJ and heiress, 42, chatted with host Kelly Clarkson, 41, about her new little girl, revealing that she'd been thinking about her future daughter's name for a very long time.

"So her name is London, right" Clarkson asks Hilton, to which the mom of two replies, "Yes."

"And it's adorable because your name is Paris. That's amazing. Did you always have that this planned?" the "Stronger" singer asks.

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

"I've been planning this name forever. My whole life I always knew I wanted a daughter named London," Hilton responds.

"I didn't even know I wanted kids," Clarkson jokes. "So you were one of those girls that mapped it out? You're one of those people? That's awesome. I just kind of wing it."

In addition to newborn daughter London, Hilton is mom to son Phoenix, 10 months, whom she shares with husband Carter Reum.

Chatting with PEOPLE ahead of the premiere of the second season of her reality series, Paris In Love, the mom of two told PEOPLE just how excited she is to be settling into her family of four after announcing on Thanksgiving that she and her husband had welcomed their second baby.

"I'm just over the moon that our little princess is here!" she told PEOPLE. "My life just feels so complete, having my little baby boy and now my little girl."

Hilton said the couple, who welcomed Phoenix in January, "are just so grateful and so happy. It's exciting to be spending our first holidays as parents."

"I am so excited to have our first holidays together. Thanksgiving was so special, surprising everyone with London and getting to show Phoenix the Christmas tree for the first time. Seeing his eyes light up and seeing the wonder in his eyes, it's such a magical experience. I can't wait for our first Christmas together as a family."

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