Thom Yorke sparked rumours of a potential collaboration at the Bonnaroo Music and Arts Festival after speaking of a recent meeting with White.
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Before singing 'Supercollider', Yorke told the crowd: "This song is for Jack White.
"We saw him yesterday. A big thank you to him, but we can't tell you why. You'll find out."
White has since told BBC Radio 6 Music: "I don't know how much to tell about it. I didn't play with him or produce but they came and recorded at Third Man but I don't know how much more they want to be said about that. That's probably all I can say."
The Rolling Stones recently hinted that they would consider working with Jack White.
Watch Jack White's video for 'Love Interruption' below:
