As seen in the following video, White was asked about McGregor's potential to face flyweight champion Demetrious Johnson before revealing his focus was on Mayweather instead:
White added that he is going to start negotiating with Team Mayweather soon.
Both Mayweather and McGregor have expressed interest in a fight for months, especially since the UFC lightweight champion got his boxing license in November.
The 40-year-old Mayweather hasn't fought since retiring after a September 2015 win over Andre Berto to improve his career record to 49-0.
McGregor, 28, last competed in the Octagon at UFC 205, defeating Eddie Alvarez via TKO (punches). The Irishman has never taken part in a professional boxing match.
White's optimism that Mayweather and McGregor will clash comes after he told TMZ Sports on Monday the fight is "not even close to being done."