The singer said that Liam and Noel Gallagher can no longer compete with rival groups and have lost their popularity.
"Oasis have disappeared up their own a***. They think they are Led Zeppelin. They're not," Ricky told The Sun. "Music has moved on and I think we are the band that most music fans would see as their successor."
Wilson and his bandmates are currently working on their third studio album. Ricky has promised that it is their best work yet.
"Our new album is shaping up. I reckon it's our best stuff yet," he explained. "I played it to our manager the other day, who has known us for over ten years, and a smile just spread across his face as soon as he heard it. He reckons that it's the best material we have come up with."
Mark Ronson, who is producing the album, recently revealed that the band's new songs are "brilliant".