The 'When She Was Mine' band said they were happy to have slowly gained a following without the help of a TV talent show.
"We wanted to do the whole gigging round [thing]," Lawson member Joel Peat told OK.
"We did three years in a van that we had to jump start every time we wanted to use it. We did the proper band thing. No, it just wasn't for us."
However, his band mate Andy Brown admitted that they aspire to be part of the "British invasion" of boybands in America, kicked off by former X Factor finalists One Direction.
"We obviously want to dominate some of the territories as well like America," he said.
"You see the British invasion thing over there at the minute and I think we'd love to do that. But [we need to] crack the UK first."
Lawson also named X Factor guest judge Rita Ora and The Voice UK coach Jessie J as two of their dream collaborators.
