Jessica Simpson would not confirm she is dating singer John Mayer, but was all smiles at her New York CD release party, saying "I have no clouds anymore."

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Simpson was celebrating her new CD, "A Public Affair," Tuesday night at a party thrown by Yahoo, when asked by Extra! about a new relationship with Mayer.

"I'm trying to keep my private life private," the pop singer said.

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"That's a first time in my life," she laughed.

At the MTV Music Awards, she said she knew there was a possibility of running into her ex-husband Nick Lachey, but said there would be no problem if that were to happen.

"I have no clouds anymore," she said. "They're rolling away, there's always a brighter day."

Joe Simpson, Jessica's father, told Extra! the family is still friendly with Lachey.

"We want him to be totally successful. We have no battle," Joe Simpson said. "He's a part of our family, and we've shared things together, and Jessica will always love him."