"Contrary to various entirely false media reports today, there has not been any kind of marriage ceremony in Thailand. She is on holiday," her spokesman, Stuart Higgins, said in a statement Tuesday.
Britain's Sun and Daily Mirror had reported that the model, 32, and the Babyshambles frontman, 27, tied the knot in a candlelit ceremony on New Year's Day in the Thai resort of Phuket.
Moss was spotted driving a Jeep in Phuket late last week and Doherty arrived in the country over the weekend. A source tells PEOPLE that on Monday the couple sent text messages to pals in Britain wishing them a happy New Year, but did not mention a wedding.
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Rumors of the couple marrying have circulated for months. In October, they were seen browsing at a jewelry shop in Italy, and the following week Doherty was stopped by fans in a London street and asked if he would wed Moss. "Yeah, soon," he replied.
Moss has a 4-year-old daughter, Lila Grace, whose father is her ex-boyfriend, fashion magazine publisher Jefferson Hack.