Hostin, 52, and Navarro, 49, both tested positive for COVID-19 and were informed of their results while preparing to bring Vice President Kamala Harris on stage for an interview. (A producer later told the audience the two women were tested again and were negative.)
In a clip from the shocking moment they exited while on camera, an offscreen producer asks the two TV personalities to "step off for a second."
As they leave, fellow co-host Joy Behar says, "Ana and Sunny have to leave, and we'll tell you why in a couple of minutes."
For more on Sunny Hostin and Ana Navarro being asked to leave The View set after testing positive for COVID-19 and other top stories, listen below to our daily podcast PEOPLE Every Day.
"So shall I introduce the vice president?" Behar then asks the producer, who initially replies "Yes," before switching his answer to "No."
Watch the clip below:
— The Chat (@LiveOnTheChat) September 24, 2021
The View Sunny Hostin (left), Ana Navarro
Never miss a story — sign up for PEOPLE's free daily newsletter to stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.
"Since this is going to be a major news story any minute now, what happened is that Sunny and Ana both apparently tested positive for COVID," Behar later told viewers. "No matter how hard we try, these things happen. They probably had a breakthrough case and they'll be okay, I'm sure, because they're both vaccinated."
Amid the chaos, Behar, 78, and her other remaining co-host Sara Haines, 44, began taking questions from the audience, before a masked producer appeared on camera to give an update. (Whoopi Goldberg was out Friday due to sciatica, nerve pain from an injury or irritation to the sciatic nerve.)
"Everything is being done to be as safe as humanly possible," the producer said. "So what we're going to try and do now is an interview with the vice president remotely."
When Harris, 56, finally appeared on air to do her virtual interview from a location within the studio, she began by addressing Hostin and Navarro's positive test results.
"Sunny and Ana are strong women and I know they're fine, but it really also does speak to the fact that they're vaccinated and vaccines really make all the difference because otherwise we would be concerned about hospitalization and worse," Harris said.
Breakthrough cases — COVID-19 infections that occur in people who have been fully vaccinated against the virus — are rare, but possible and expected, as the vaccines are not 100 percent effective in preventing infections. Still, vaccinated people who test positive will likely be asymptomatic or experience a far milder illness than if they were not vaccinated. The majority of deaths from COVID-19 — around 98 to 99 percent — are in unvaccinated people.