Troubled British rocker Pete Doherty has all but given up on his chances of winning back supermodel girlfriend Kate Moss, but he's determined to honour a promise he made to her to kick his heroin habit. The Babyshambles frontman has spoken candidly about the state of his volatile romance with Moss in a taped interview with British TV presenter JONATHAN ROSS, which will air tomorrow (07JUL06). And, during the chat, Doherty confessed that his famous ex has "had enough" of his drug-fuelled exploits. He tells Ross, "(Our relationship) is right and wrong, up and down... She's had enough, I think. I love her bones, I always will." Doherty also confirms that Moss pressured him to kick his much-publicised heroin habit - and he's determined to show her he's serious about getting clean. He reveals, "For the first time in my life, I'm upping the stakes in my battle against (heroin). "Being clean means I can sit down and rediscover writing. My songwriting suffered, being on drugs." Doherty is currently undergoing drug rehab at the order of a British court, following an arrest in December (05), when police allegedly found marijuana, heroin and crack cocaine in the rocker's car. He adds, "I get tested twice a week for crack and heroin."