Republican presidential candidate Ben CarsonBen CarsonGiuliani released from hospital after getting treatment for coronavirus EPA chief quarantining after exposure to someone who later tested positive for COVID-19 Voters elected a record number of Black women to Congress this year — none were Republican MORE says he's willing to consider being Donald TrumpDonald TrumpBiden team says it's 'no surprise' Supreme Court rejected Texas lawsuit Trump praises FDA approval of COVID-19 vaccine: 'One of the greatest scientific accomplishments in history' Giuliani says Trump team 'not finished' after Supreme Court defeat MORE's vice president if the businessman wins the GOP nomination.

"I certainly would sit down and discuss it with him," he told Fox Business host Neil Cavuto on Tuesday, the day of the New Hampshire primary.

ADVERTISEMENT

But Carson emphasized that he'd only consider running if he and the nominee had "philosophical alignment."

"I would have to have major philosophical alignment with whoever it was," he said. "I would have to have guarantees that I could do some substantial things."

Carson wouldn't say which candidates he would not consider running on a ticket with.

"Rather than get into that, let's say as long as there is significant philosophical alignment, I wouldn't have any problem," the former neurosurgeon said.

Ultimately, Carson said his focus is on his presidential campaign.

"I'm aiming to really change this country in the same way that I came up with new ways to do very complex things that people have been trying to do for a long long period of time, that's what I want to do with this country," he said.