Republican presidential candidate Ben CarsonBen CarsonRepublicans are the 21st-century Know-Nothing Party Sunday shows preview: Delta concerns prompt CDC mask update; bipartisan infrastructure bill to face challenges in Senate Government indoctrination, whether 'critical' or 'patriotic,' is wrong MORE says he's willing to consider being Donald TrumpDonald TrumpJulian Castro knocks Biden administration over refugee policy Overnight Energy & Environment — League of Conservation Voters — Climate summit chief says US needs to 'show progress' on environment Five takeaways from Arizona's audit results 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.

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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.