He told Heart Radio that the Sunday night headliner is someone he's "been wanting to have for years".
"We've got two out of three headliners already sorted," Eavis explained. "There's an American artist that I've been wanting to have for years and yonks and yonks and yonks. So it's confirmed."
After confirming that the artist will play on the Sunday evening of Glastonbury, Eavis added: "I can't tell you who it is. I really cannot tell you who it is. I can't tell you a thing about it," although he did admit he was "thrilled" about the booking.