The F**k You singer reportedly accosted the band in a corridor at the Brits after seeing them perform with Bob Dylan at the Grammy Awards.
Green told Heatworld: "I saw them at the Grammys and personally really enjoyed them. I wanted to know who these great guys were doing folk music with so much energy and attitude.
"I just met them and gave them the compliment I had for them and said I’d like to see if we could come up with something."
Green performed with Paloma Faith at Tuesday night's ceremony.
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