Earlier, it was revealed that the couple argue over the fact that Moss is still in touch with the Babyshambles frontman.
"They argue a lot, mostly over the fact that Kate is still in touch with her ex, Pete Doherty. Jamie goes mad that she's always texting Pete and giggling at messages from him," a friend said at the time.
Sources say that The Kills guitarist busted Moss, after he caught her contacting Pete despite promising him last month she'd never speak to the troubled rocker again.
"Jamie hit the roof after seeing Kate's texts. When will she learn?" News of the World quoted a source, as saying.