According to a friend of the 31-year-old supermodel, Moss flew to The Meadows clinic in Arizona, where she would spend a month for a rehabilitation programme.
However, her presence in Wickenburg, Arizona could not be officially confirmed.
The photos published in the Daily Mirror triggered a huge scandal, but Moss apologized to her family and fans, taking "full responsibility" of her actions.
The famous model split up with Pete Doherty and promised her family she would check in a rehab clinic.
Moss has recently lost contracts with H&M, Burberry, and Chanel worth millions of dollars.
Meanwhile, the British press reported that a documentary on her situation is being planned; Sky One says it will also show some footage of Moss snorting cocaine.
Sarah Doukas, head of the Storm modeling agency, has recently stated that Moss would soon sign a contract to represent a luxury perfume brand. ''She loves modeling and she needs to be busy," Doukas said.