Pete Doherty and Kate Moss

An apparent home video of Pete Doherty and Kate Moss has become a hit on the internet.

The three-minute clip gives a behind-the-scenes peek into the private lives of the supermodel and her Babyshambles boyfriend.

It has already received more than 31,000 hits on YouTube.

Doherty is seen strumming a guitar for the camera while warbling a song. Moss enters the room in a see-through dress, wearing nothing underneath but a pair of knickers.

She collapses in a chair with cigarette in hand, and provides the accompaniment to his acoustic set by yelling: "Rot in jail... Rot, rot, rot, rot, rot, rot."

Throughout the song, she swings in a Seventies-style chair suspended from the ceiling and kicks her legs to the music. At one point she interrupts: "Sonny and Cher we're not."

As Doherty sings about an oak tree, Moss cries: "What oak tree? You're such a liar, such a liar. And a fantasist." And when he trills "la, la, la..." she orders him: "Don't la la me."

The session ends after Moss walks out abruptly, saying: I'm going to get a drink."

The footage is headed "KP Nuts" and subtitled "Peter Doherty performing new song KP Nuts with Kate Moss". It is thought to have been filmed at the supermodel's Cotswolds home.

A spokesman for Babyshambles' record company, Parlophone, said he had no idea how the clip had ended up on YouTube.