A New Man for Jessica Simpson?

Simpson is spotted being "very touchy-feely" with a mystery guy at an L.A. club

Lately Jessica Simpson has been working – and working it.

Last weekend, the singer, who has been promoting her new album, A Public Affair, turned up at L.A. hot spot Hyde Lounge on Saturday night for a triple date. She was with her hairdresser, Ken Paves, and his boyfriend, pal CaCee Cobb and her new squeeze, Scrubs star Donald Faison – and a new guy of her own, PEOPLE reports in its upcoming issue.

“Jessica was very touchy-feely with him,” says a club source, who claims the two kissed at their table. “They were lovey-dovey. It seemed like she really liked him.”

Still, Simpson’s rep insists she is “not dating anybody,” and a source close to the singer tells PEOPLE, “She is really enjoying the single life.”

But it’s not all play for the star: On Friday night she hit the stage at West Hollywood’s the Factory for a 20-minute set of songs from her new album, rounded off with an a capella version of “Amazing Grace.”

Meanwhile, Simpson’s pal Cobb spent her Friday night with Faison at the House of Blues for a Justin Timberlake concert.

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