Yesterday, it was reported that the Coty-owned Rimmel brand, which has to date stood by the model, was coming under pressure from US drugstore giant Walgreens to drop Moss from its ad campaigns.
According to a report in The Sun newspaper, the cocaine shame supermodel will be formally arrested and interviewed when she leaves the clinic and returns to the UK.
The Croydon-born model checked herself into rehab after revelations about her alleged £200-a-day cocaine habit surfaced in the Daily Mirror in a secret video film, which has since been shown on Sky One.
Pictures of the star showed her apparently snorting "line after line" of cocaine with her on-off boyfriend, rock musician Pete Doherty.
The £4m-a-year model has lost several lucrative contracts with major fashion houses since the scandal broke, including H&M, Chanel and Burberry.
Moss is seen on the front of America's W magazine, published by Conde Nast, for the November issue. She is also featured in the magazine "dazzling in the season's most glamourous choices".
Scotland Yard has not confirmed that Moss will be arrested, however it was said to be an "ongoing inquiry".
Moss made a public apology a week after the grainy pictures were published saying "I take full responsibility for my actions. 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.
"I want to apologise to all of the people I have let down because of my behaviour, which has reflected badly on my family, friends, co-workers, business associates and others."
Police have also raided the recording studio where Moss was alleged to have used the drugs and interviewed her boyfriend Doherty over the matter.
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