The guitarist - who rejoined his bandmates, frontman Damon Albarn, bassist Alex James and drummer Dave Rowntree, for several summer shows this year - is still hopeful the group will make another album and tour again, even though the individual members have gone their separate ways.
He said: "Everyone has gone back to their day jobs from the Blur thing. Damon's really involved with Gorillaz stuff, so that's obviously taking up a lot of his time and energy. But I'm open to suggestions as far as next year goes."
Graham insists it was a fantastic experience to rejoin Blur after departing in acrimonious circumstances in 2002, while the band were recording the album 'Think Tank', and one he hopes to repeat.
He added to NME magazine: "It was really good to play, get close to those boys and play rock concerts. The Blur thing was obviously excellent. I mean, you can't get a better job than that - great big guitar sound and a huge audience. We had such a good time, we all felt so brotherly and the audiences were so great to us."
After the band split in 2002 Graham went on to launch a solo career, while Damon formed groups Gorillaz and The Good, the Bad and the Queen and also wrote the opera 'Monkey: Journey to the West'.
Alex gave up music to become a cheese farmer and Dave studied to become a lawyer to aid his burgeoning political career.