The model – who has four children with her ex-husband – admits the Rolling Stones frontman pursued her for a year after they first met, but Jerry wouldn't have anything to do with him unless he gave up drugs.
She said: "Mick had told me he took LSD every day for a year in the 60s. He also admitted he was smoking heroin. I was disgusted. I told him I couldn't see him if he took drugs, saying, 'Go away and don't come back until you're straight.' He succeeded – he had amazing willpower."
Although the couple were together for 23 years, Jerry knew he wasn't faithful to her, describing him as "a dangerous sexual predator".
She added: "I had weaned him off drugs, but they had been replaced by sex and he had never had proper treatment.
"Even in our early days, my instincts told me he could not help indulging himself with other women, and by the time we had children I'd read about Mick's dalliances in newspapers."
While she knew there were other women, Jerry finally decided to leave Mick after it was revealed he had fathered a son in 1999 with model Luciana Morad.
Writing in her new book 'My Life in Pictures', she said: "When Mick eventually returned to London, he looked shaken. A newspaper reported that a Brazilian model, Luciana Morad, was pregnant with his baby. It was the final straw. I told him I wanted a divorce.
"Breaking up with Mick was painful. I had been tempted to leave him many times but had put up with his infidelities. However, having a child with another woman was too much. The most difficult part was telling the children. I explained to them that we loved them and were still their parents. Mick and I were determined that, even though our marriage had ended, we would continue to be parents together – and we have."