On Tuesday - the day after Hillary Clinton became ill at a 9/11 memorial ceremony - Trump, 70, announced on Fox News that he underwent a physical last week and would release the "very, very specific" results this week. He spoke of his health with great confidence and said that he finds the campaign trail "very invigorating," not exhausting. He also bragged that he has a busier campaign schedule than Clinton, an assertion that has been challenged.
Yesterday, Trump's campaign spokeswoman Hope Hicks said that "more detailed records will be released later this week". Today, the campaign told reporters that the records would be released "soon" but would not say when. They also would not say what sort of information Trump would release and how comprehensive it would be.
Oz said on Fox News Radio yesterday that he didn't expect Trump to release any embarrassing information during the show.
"It's his decision," Oz said in the interview. "The metaphor for me is it's the doctor's office, the studio. So I'm not going to ask him questions he doesn't want to have answered."
Later that day, Trump's campaign manager Kellyanne Conway confirmed in an interview with MSNBC that the focus of the interview would be Trump's health report - although she indicated that the information that Trump planned to release might not be extensive.
"I'm with Dr Oz and millions of Americans on this. I don't know why we need such extensive medical reporting when we all have a right to privacy," Conway said on MSNBC, then launched into an attack on President Barack Obama's signature Affordable Care Act.
All the rest of them are either sick or dead
The campaign faced some mocking for selecting The Dr Oz Show as the forum to discuss the candidate's health.
The celebrity doctor's credibility has been questioned in recent years. In 2014, Oz appeared on Capitol Hill to testify about weight-loss product fraud and was grilled by Senator Claire McCaskill, who accused him of being part of the problem. That year, the British Medical Journal published a study analysing Oz's claims and found that medical research either didn't substantiate or contradicted more than half of Oz's recommendations.
If Trump wins, he will become the oldest president ever elected. In December, Trump released a four-paragraph letter signed by Bornstein of Lenox Hill Hospital in Manhattan that contained few specifics but declared that Trump would "be the healthiest individual ever elected to the presidency".
Bornstein, a gastroenterological specialist based in Manhattan, told NBC News last month that he composed the letter in about five minutes while a limo sent by the candidate to collect the letter waited outside. When asked how he could justify saying that Trump would be "the healthiest individual ever elected to the presidency," Bornstein told NBC that some presidents had dementia, tumours or were "paranoid" or "psychotic".
"All the rest of them are either sick or dead," Bornstein said.