McGregor has been absent from the UFC since November of 2016.
Conor McGregor does not intend to return to UFC until September.
"It's just not fair to everyone else", he said.
White added: "Conor is saying "maybe I'll come back in August, maybe I'll come back in September", but that's nearly two years [since he won the title]".
Asked whether McGregor would be stripped of his title and what exact title Ferguson and Nurmagomedov were fighting for, White offered the somewhat contradictory: "I have no update".
Conor McGregor's coach believes he will still be considered as the best lightweight fighter in the UFC, even if he is stripped of his championship belt.
Khabib Nurmagomedov and Tony Ferguson have a fight date for a fourth time.
Tonight's press conference then meandered off in a different direction, until ESPN's Brett Okamoto and Ariel Helwani of MMAFighting.com returned to the issue of McGregor's lightweight title reign in search of clarity.
White refused to directly answer questions about McGregor's champion status and later claimed, "It's an undisputed title fight", but did not elaborate on what that meant for McGregor. "We'll see what happens [with McGregor]".
In that bout, McGregor knocked Alvarez down with clinical conter punches, well-timed overhand left shots, and finished the fight in the second round with a brutal four-punch combination that put Alvarez down and out. Ferguson looks to extend his 10-fight win streak while Khabib looks to claim UFC gold for the first time while maintaining his ideal record. However, he has never defended the title and has fought just once in the 14 months since - a tenth round boxing rules loss to Floyd Mayweather. "He just can't hold the division hostage for nearly two years".
With the win, McGregor became the first same-time double champion in UFC history.