Friends of the 31-year-old supermodel who was photographed apparently snorting cocaine told The Times that Moss flew to The Meadows clinic, where she will spend a month in "medical treatment and therapy."
CBS affiliate KPHO-TV in Phoenix said The Meadows is the same clinic where Rush Limbaugh dealt with his.
A nurse on duty at the Wickenburg, Ariz., facility said she could not confirm or deny a patient's presence. The model's agent wasn't immediately available for comment Thursday. Several phone calls to the Storm modeling agency went unanswered.
The Meadows reportedly charges $4,000 a day.
Moss lost contracts with H&M, Burberry and Chanel worth millions of dollars after the photos were published in the Daily Mirror tabloid.
The incident has virtually destroyed her career, reports CBS News Correspondent Steve Holt. Moss issued an apology last week, taking "full responsibility for my actions."
In her statement, Moss said, "I also accept that there are various personal issues that I need to address and have started taking the difficult, yet necessary, steps to resolve them."
Sarah Doukas, head of the Storm modeling agency, said Wednesday that Moss would soon sign a contract to represent a luxury perfume brand.
"She loves modeling — and she needs to be busy," Doukas, who discovered Moss when the model was 14, said.
The BBC reports Scotland Yard will investigate the drug allegations.