The bassist has revealed the band's impromptu recording sessions in May - which took place after they had to cancel gigs in Tokyo, Japan, and Taiwan - yielded some good results and he is confident the group will make another LP together.
Speaking exclusively to BANG Showbiz, he said: ''We had a few days off in Hong Kong and thought, 'What the hell, let's go to the studio.' It went very well. The opportunity came and we took it. Any chance to get together and make music is very welcome. It was absolutely brilliant. We were just jamming, but it was good. I hope it happens.''
The 44-year-old musician - who has been busy organising 'The Big Feastival' music and food event with Jamie Oliver - also spoke about the difficulties of making a name for yourself in today's music business, and he thinks Blur would struggle to be signed if they were starting their career in 2013.
He said: ''The big bands are getting bigger and bigger and the small ones are disappearing altogether. I think it's very hard to be in an indie band anymore. I think Blur would struggle if we were just starting out now. It's a very different climate.''
Alex and Jamie present 'The Big Feastival', a feel good festival of food and music for all the family, featuring Mark Owen and Rizzle Kicks.
The event takes place over the weekend of August 31 to September 1, for more information and tickets, visit www.thebigfeastival.com.