Katy Perry, John Mayer house hunting in Los Angeles

Katy Perry and John Mayer, who have been dating each other for about four months, have an on-off relationship and are reportedly keen on making things work.

John Mayer and Katy Perry

"John and Katy have decided to give it a proper go and want to find a place in LA to share. But lots of people are willing them to fail. They row a bit and have quite a turbulent up-and-down relationship, despite it only being a few months old," thesun.co.uk quoted a source as saying.

However, friends of Perry, 28, and Mayer, 35, are keeping their fingers crossed as they fear their relationship might not work out.

"Many of her friends are certain it will all end in tears. But that's brought them closer in a way. It's given them an 'us against the world' mentality," the source said.u00a0