"Sometimes, you gotta protect these guys from themselves and that's what we're looking into right now," White said.
The decision to pull Hunt from his scheduled bout with Marcin Tybura and replace him on the card with Fabricio Werdum came after the 43-year-old penned a piece for PlayersVoice titled "If I Die Fighting, That's Fine" that detailed his medical woes.
"My body is f--ked but my mind is still here," Hunt wrote. "I've still got my senses about me and I know what’s right and wrong, which is the main thing.
"Sometimes I don't sleep well. You can hear me starting to stutter and slur my words. My memory is not that good anymore. I'll forget something I did yesterday but I can remember the s--t I did years and years ago. That’s just the price I've paid—the price of being a fighter."
Citing medical concerns, UFC announced Tuesday that Hunt had been removed from the card in Sydney, according to ESPN.com's Brett Okamoto.
Hunt responded with a profane Instagram post (warning: NSFW language) in which he referred to White as a "peice of s--t motherf--ker" and a "bald headed prick."
In January, the New Zealand native filed a civil lawsuit against White, UFC and Brock Lesnar after Lesnar failed drug tests following a unanimous-decision victory over Hunt at UFC 200. The result has since been overturned to a no-contest.