Showbiz
Rex Features
The 35-year-old has been linked to a series of Hollywood actresses in recent months, including Lindsay Lohan and Hayden Panettiere.
However, according to Page Six, Connolly was spotted with the Big Love star at a Nobu restaurant in New York last week.
A source said: "She was very dressed up and looked stunning. They went outside for a cigarette, where they seemed clearly interested in each other."
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