The world of Pete Doherty and Kate Moss gets wackier week by week.

If the constant rehab continues and run ins with the law and feeding pot to penguins wasn't enough, the pair are now reportedly trying to make their relationship into a professional one.

Although their romantic union has had its ups and downs, the grunge couple are said to hoping a musical duet could be the perfect option for them, following in the footsteps of Sonny and Cher, Johnny Cash and June Carter and Beyonce and Jay-Z.

A preview of the couple performing on a video was made public last week.

Pete, who is allegedly the musical one of the two, sung "KP Nuts," while supermodel Kate danced around in the background wearing next to nothing and occasionally making comments such as, "Sonny and Cher we're not" and "Rot in jail you c***!"

Following the video's release, Pete's Baby Shambles bandmates are worried that he will neglect them and run off with Kate. Apparently the drug binges and rehab stays haven't concerned them as much.

Pete added to the musicians worries, saying, "[Kate and I] trying to get signed. Kate's not annoyed at the video being posted, she said I should do it."

However, a source told the Daily Mirror newspaper, "The band are furious at the time he's spending with Kate."

Pete shot to fame as part of the British band The Libertines. His follow up effort, Baby Shambles, has failed to make as much impact.