Ben Carson on Monday sought to close the door on serving as presumptive GOP White House nominee Donald TrumpDonald John TrumpCoast Guard chief: 'Unacceptable' that service members must rely on food pantries, donations amid shutdown Dem lawmaker apologizes after saying it's never been legal in US to force people to work for free Grassley to hold drug pricing hearing MORE’s vice president or one of his Cabinet members.

“I would not want to be on the ticket or in the Cabinet,” Carson said on Fox Business Network’s “The Intelligence Report." "I personally feel that I can be considerably more effective as an outside voice. I was an outside voice before all this started.”

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The retired neurosurgeon was the second 2016 GOP presidential hopeful to endorse Trump after dropping out, following New Jersey Gov. Chris Christie. 

On Monday, Carson disputed the idea that picking a female or minority running mate is automatically a good call for Trump.

“I want an American, somebody who loves America,” told host Trish Regan. "I don’t care if they’re a man, woman, black, white, Asian, whatever. If they fit that description, they’re great with me. We have gotten so much into this identity politics thing."

Carson added: "We need to move away from it and start thinking of ourselves as Americans who are all on the same boat.”

Reports emerged last Saturday that Trump’s campaign may begin vetting vice presidential options this week now that the billionaire appears set to lock up the nomination.

Carson told The Washington Post last week that shortlist contenders included Ohio Gov. John Kasich, former Alaska Gov. Sarah Palin, Christie and Sens. Marco RubioMarco Antonio RubioHillicon Valley: Lawmakers worry as 'deepfakes' spread | New intel strategy sees threats from emerging tech | Google fined M under EU data rules | WhatsApp moves to curb misinformation Tlaib: 'Right wing media is now targeting my little sister' Airbnb is doing the Democrats' dirty work MORE (R-Fla.) and Ted CruzRafael (Ted) Edward CruzGroup aiming to draft Beto O’Rourke unveils first 2020 video Howard Dean looking for a 'younger, newer' Democratic nominee in 2020 Congress can stop the war on science MORE (R-Texas).

Trump has since debunked that list, noting that few, if any, of those names had caught his eye as suitable running mates.

Earlier this month, Carson apparently spoke out of turn when he suggested that Trump might even be open to a Democratic VP, an idea Trump quickly rejected.

Other Republican names floated include New Mexico Gov. Susanna Martinez, former Speaker Newt Gingrich, Florida Gov. Rick Scott, Rep Marsha BlackburnMarsha BlackburnBarr hearing marks first time Senate Judiciary has GOP women serving on panel Live coverage: Trump AG pick grilled on Mueller probe at confirmation hearing Overnight Defense: Appeals court sides with Trump on transgender military ban | Trump threatens years-long shutdown | Trump floats declaring national emergency to build wall with military MORE (Tenn.) and South Carolina Gov. Nikki Haley.