Ben Carson on Wednesday floated Ted Cruz Rafael (Ted) Edward CruzSenate Republicans face tough decision on replacing Ginsburg Cruz: Trump should nominate a Supreme Court justice next week Renewed focus on Trump's Supreme Court list after Ginsburg's death MORE as a possible attorney general in a Donald Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE administration, noting that it could allow Cruz to prosecute Hillary Clinton Hillary Diane Rodham ClintonWhat Senate Republicans have said about election-year Supreme Court vacancies Bipartisan praise pours in after Ginsburg's death Trump carries on with rally, unaware of Ginsburg's death MORE.

"I think he would be terrific on the Supreme Court, or I think he would be a terrific attorney general. Or he could be both," Carson told Fox News Radio's John Gibson.

ADVERTISEMENT

Carson was asked whether it would be "smart" for Trump, now the presumptive GOP nominee, to nominate Cruz to the Supreme Court.

"He could be attorney general first, you know, go ahead and prosecute Hillary, and then go on the Supreme Court," Carson added.

Carson admitted that there are "deep wounds" though and it may "take a little while for that to occur."

Trump repeatedly slammed Cruz on the campaign trail, referring to him as "Lyin' Ted."

During the interview, Carson also tried to make it clear Trump should not choose him as a running mate.

"I wouldn't advise him to pick me, I would advise him to pick someone who really is willing and able to take a significant part of the load," Carson said.

"Traditionally, vice presidents have not really played a very significant role and I think the world is so complex right now, particularly somebody who has a lot of experience on the world scene, I think would be very good."

Carson said he would not recommend himself as a running mate because of the reaction "left-wing media" has had to him.

"They do not like someone like myself," he said.

"I represent everything that they're against and there would be so much attention on that and I think it would just distract from what needs to be done."

Instead, Carson said the role he'd like to play would be an adviser from outside the government.

During the interview, Carson also acknowledged Trump isn't the "furthest person on the right wing," but said the businessman values success.

"Success means a lot to Donald Trump," he said.

"And that means he’s going to surround himself with extraordinarily competent people.”

Trump told The New York Times on Wednesday that Carson would serve on a selection committee to find Trump's running mate.