The Notorious, 33, is reportedly in the final stages of recovering from the horrific broken leg he suffered in his trilogy fight with Dustin Poirier last July.
Chandler, meanwhile, is coming off of a devastating win over Tony Ferguson less than two days ago, which snapped a two-fight losing streak.
Lightweights McGregor (22-6) and Chandler (23-7) are two of the most exciting fighters on the UFC roster, so it’s no surprise White says he wouldn’t have a problem pitting them both against each other.
“Yeah, that’s a fun one,” he said at the post-fight press conference.
“I mean, who the hell wouldn’t want to see that fight?
“But Conor’s not ready yet.
“When Conor is 100 per cent, and can actually really start training for a fight, then we’ll talk about what’s next for Conor.
“He’s the biggest superstar in the sport so everybody’s going to call him out.
“I think that first of all, talking about Conor, he’s not ready.
“Like, I’ll give you an example – you guys, for the last however many months, wanted to talk to me about Conor.
“I would never have said Chandler in a million years, and then tonight happened in the way that it happened and Chandler said ‘Hey Conor, let’s fight’, and Conor’s like, ‘You know what, I would like to fight you, I think it would be an exciting fight’.
“So by the time Conor is ready to actually compete, who knows what’s going to happen, who knows what the landscape is going to be, but I promise you, we’ll make a good one.”
Meanwhile Chandler got back to winning ways after absolutely starching Ferguson in what was his first fight since November of last year.
Speaking to TheMacLife.com after his victory, Chandler said: “That fight with Conor obviously I’m serious about it.
You’re going to be hard pressed to find somebody who doesn’t think I’m one of the most exciting guys on the planet now.
“I think I’ve proven that numerous times now.
“Conor needs a big fight to put butts in seats, to sell pay-per-views, and a fight at 170 would be a lot better than 155.”
Before adding: “Definitely the Conor fight I would end the vacation. We’ll see what happens. When Conor comes back and he’s healthy, I’ll be there.
“But once again the typical combat sports icon that is Conor McGregor he left his options open.
“He deserves and earns the right to decide who you want to fight and where you want to fight.
“I’m just the guy with a black eye and sore right foot who’s just collected a bonus and I’m pretty darn happy about it.”