The star reunited with Pete Doherty at the Leeds and Reading festivals last year and it has been claimed they plan to perform at Glastonbury.
However, Barat is currently working on solo material and said he has no plans to perform at the Somerset event.
He said to UK newspaper Daily Star: 'Getting back together at Reading and Leeds was more than I could ever imagine and made me understand and realise what an impact the band had on a generation.
'In time I would be keen to do it again but Pete Doherty and I are busy doing other things. It's definitely not over between us, we're just waiting for the right time. The next thing will be something special.'