The 'A Scanner Darkly' actress, who is said to have split from Rilo Kiley rocker Blake Sennett just a few weeks ago, was seen cuddling Tom in Hollywood's Crown Bar last week.
Friends claim Winona is already smitten with the Canadian funnyman after the pair hit it off on their date. A source said: " Winona didn't waste any time. She and Tom were all over each other, laughing and carrying on."
Tom was previously married to Drew Barrymore, while Winona has dated a string of handsome actors, including Johnny Depp, Christian Slater, David Duchovny, and rocker Dave Grohl.
Last week, it was claimed Winona was struggling to deal with her break-up from Blake. A friend of the pair said: "The split was tough on Winona ."
It was first reported that Winona and Blake were dating last October, and the couple were rumoured to have got engaged in March.
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