Conor McGregor claims he had talks over acquiring Celtic shares from Dermot Desmond.
The mixed martial arts star made the revelation in a question-and-answer session on Twitter.
The Irishman has previously been pictured in a Celtic shirt given to him by Kieran Tierney.
After being asked by a fan whether he was "actually going to buy Manchester United", McGregor said: "A conversation came up regarding Celtic first to be honest. To acquire shares from Dermot Desmond.
"I am certainly interested in acquiring a sports team at some stage! Both Celtic and Man United are teams I like for sure. But I am open. I feel I could do big things for a club."
Principal shareholder Desmond, who first invested in Celtic in the 1990s, declared in March that his shares were not for sale.