"He's in a good place," Oliver said of his star pupil.
"He's the fittest, he's the best I've ever seen him, he's ready to go. They can play all the games they like, it isn't going to stop this guy."
Hunt, who made a name for himself on the K-1 kickboxing circuit in the early 2000s, has won his past four fights in the UFC and his devastating striking power has sent a shockwave through the heavyweight division.
He originally wanted three weeks to settle himself in Vegas ahead of the bout at the MGM Grand Arena. Hunt has fought previously in the US after arriving only four days before but said that wasn't long enough to acclimatise.
Oliver said Hunt hadn't spent the past two weeks sitting on his hands and the long trip would give him a good chance to rest.
"He's had a great weekend. We pushed him hard over the weekend so he's ready for a break now. So we'll use that and we'll fly over and maybe do a bit of light pad work in the first couple of days just to get the heart pumping, get the blood flowing but nothing too hard."
Following the good news that Hunt had received clearance to travel to the US this morning, he tweeted: "Thank u for my visa father."
Hunt has stepped in for Alistair Overeem, who was scheduled to fight the 15-2 dos Santos, but pulled out with an injury.