Ex-White House hopeful and retired pediatric neurosurgeon Ben Carson said Sunday that both Hillary Clinton and Donald Trump should quell concerns about their health by releasing their medical records before voting begins.

"I think one of the ways to eliminate that kind of speculation is for both candidates to release their medical records," Carson, a top Trump ally and adviser to the Republican presidential nominee, told CBS' John Dickerson.

"You know, as people get older, a lot of things begin to go wrong with their bodies. And I think the American people have a right to know, because we're dealing with two older candidates, what their health status is because it's a very intense job," he added. "It's not eight hours a day. It's 24/7 with constant stress."

"We need to know that we have a leader who can withstand that," Carson said.

While Trump surrogates like former New York City Mayor Rudy Giuliani continue to raise questions about Clinton's health, Carson said he has privately encouraged Trump to release his own medical records.

"I think he's perfectly willing to release that information as long as she releases hers as well," Carson said.

Trump's doctor, Harold Bernstein, told NBC News earlier this week that the letter he released about Trump's health last December was drafted in five minutes while a limo sent by the candidate waited outside his Manhattan office.

"If elected, Mr. Trump, I can state unequivocally, will be the healthiest individual ever elected to the presidency," Bornstein wrote at the time.