The two worked together in 2003 on tracks for possible inclusion on her album ’In The Zone’.
He told New York Magazine: “It was very strange – we were both lying on the floor, head-to head, working on lyrics in a notepad.
“She seemed eager to please, but it went nowhere. She went to dinner and just never came back.”
One of the tracks, which remained untitled, surfaced on the internet last year.
LCD Soundsystem, who have just completed a UK tour, are set to play Carling Weekend: Reading and Leeds festivals on Friday August 24 in Leeds and on Sunday August 26 in Reading.