The band revealed that headlining the three-day music event is a milestone they are determined to achieve in their career, though they will have to wait until 2013 as next year sees the festival take a break.
Frontman Tom Meighan told the Daily Star: "It would have been brilliant to play Glastonbury but all we need is a phone call from Michael Eavis and we'll be there for 2013."
Sergio Pizzorno added: "One thing I really want to do before all this ends is to headline Glastonbury as we've always had an incredible time playing there. Hopefully it'll happen.
"The one thing you need to pull off a good Glastonbury headline show is f**king good tunes and we've got enough of them to do that."
The 'Days Are Forgotten' star also hinted at a possible 2012 UK stadium tour, saying it is something the band have always been working towards.
Meighan teased: "I can't say anything about it, but time will tell."
Pizzorno continued: "It would really be something if we could play Wembley Stadium. To be big enough to headline there? Magnificent. Who knows what'll happen next year?"
Kasabian topped the UK album chart with their new record Velociraptor! on Sunday evening.
The group recently added three extra dates to their upcoming arena tour after the initial ten shows sold out.
> Kasabian: 'Supporting U2 tour was horrible'
Watch Digital Spy's exclusive video of Serge Pizzorno discussing Velociraptor! below: