The pair were spotted dancing together at a post-Golden Globe Awards party at Teddy's nightclub inside Hollywood's Roosevelt Hotel on Monday night (16JAN05).
Moss, 32, and Osbourne, 20, have been pals for some time, but onlookers suspect a romance may have bloomed - and a spokesman for the reality TV star insists Osbourne is keen on the catwalk queen.
The representative says, "Jack and Kate have known each other for a while. There have been rumours of a romance for quite a while. I asked him about these about a year ago and he was very coy. He left me with the idea he wouldn't be against the idea."
Moss was recently linked to 20-year-old former English public schoolboy JAMES BURKE after spending the New Year with him in Aspen, Colorado. Before that she dated rocker Pete Doherty.