Republican presidential candidate Ben Carson Benjamin (Ben) Solomon CarsonBiden cannot keep letting Trump set the agenda The Hill's 12:30 Report: Trump heads to New Hampshire after renomination speech Five takeaways on GOP's norm-breaking convention MORE says he's willing to consider being Donald Trump Donald John TrumpHR McMaster says president's policy to withdraw troops from Afghanistan is 'unwise' Cast of 'Parks and Rec' reunite for virtual town hall to address Wisconsin voters Biden says Trump should step down over coronavirus response 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.