The '2 Hearts' singer has just announced dates for a European tour, which begins in May next year, but has not scheduled any concerts for the weekend of the world-famous music event.
Kylie's first UK show is on June 27 and she then takes a break until July 5 - giving the biggest hint yet she will play the closing night of Glastonbury on June 29.
Festival organiser Michael Eavis is desperate for Kylie to perform and believes she can bring the weekend to a spectacular close.
Eavis said: "Kylie sums up everything Glastonbury is about. She's glam and theatrical. I see dancers, lights, feathers - almost like a circus show.
"She seduced me with her 'Showgirl' tour and I'd love to see her do that on the last night."
Kylie was set to headline the 2005 festival but was forced to pull out after she was diagnosed with breast cancer.
She was replaced by dance group Basement Jaxx, who paid tribute to Kylie by performing one of her biggest hits 'Can't Get You Out Of My Head'.
Eavis also revealed he has already lined-up six other major acts but refused to reveal who they are.
He said: "We've got seven headline acts we're looking at. And yes, Kylie is one of them."
Bands rumoured to appear include Radiohead, Muse and reunited 90s band The Verve.
TAGS: Music Kylie Minogue