The appeal hearing arrives one year after Holmes began a more than 11-year sentence at a Texas prison for defrauding investors with false claims about her company's blood-testing technology.
After a battle to keep her free, the Theranos founder reported to prison in Texas on May 30.
A judge had previously ordered the Theranos founder to surrender to federal prison authorities on April 27.
A judge on Monday denied Elizabeth Holmes' request to remain free while she appeals her conviction, setting the stage for the disgraced Theranos founder to report to prison later this month.
Just weeks after being convicted, federal prosecutors say that Holmes bought a flight to Mexico without a scheduled return trip but it was canceled once the defense was notified.