"We have not had any disagreements about clothes, smoking or L'Wren, and this is all very hurtful for her," the 62-year-old rocker said in a statement Tuesday.
He issued the statement after British newspaper reports suggested that Scott had angered band members by giving them fashion tips and urging some of them to stop smoking.
"It is completely untrue to say that L'Wren has caused a rift between myself and the rest of the band," Jagger's statement said. "This is all nonsense, everyone has their own style."
Jagger said the 38-year-old Scott "would not dream of interfering with a band who have been on the road for 40 years. In fact the band, their wives and girlfriends are all getting along extremely well."
The Rolling Stones are touring North America to promote their latest album, "A Bigger Bang."
In Jagger's statement, Jo Wood, wife of Stones guitarist Ron Wood, denied that Scott had tried to get her husband to quit smoking.
"Ronnie is the only one who can stop himself from smoking. No one can tell him to stop. Me and L'Wren went together to stop smoking in Boston three years ago," she said.
"It's ridiculous about the clothes. Ronnie has the same look which he has had forever and that's not about to change. L'Wren did give some wonderful jackets to Ronnie that I loved and I told her if she found anything else I'd love to see them," she added.
"L'Wren has got great taste, is fantastic company and is just one of the girls on tour."
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