"I think that's going to be a common thing, talking to my colleagues in other airlines around the globe," he said.
Joyce's comments sparked an immediate wave of fury from people who objected to the policy.
"What right does Alan Joyce have to demand that we will only be allowed to travel with Qantas if we first prove we have been vaccinated against Covid-19?" someone asked on Twitter.
Some people said while they didn't object to vaccines in theory, they had a problem with the national carrier making them mandatory.
Others expressed unease due to the speed at which a potential Covid-19 vaccine was likely to be developed and rolled out.
Drug companies Pfizer and Moderna, who both say their vaccine candidates are more than 90 per cent effective, have flagged they could become available next year.
"I'm no anti-vaxxer, but forced vaccination, especially of such a new drug, is NOT okay," one person tweeted.
"If Qantas really go ahead, we may have to seek judges' ruling."
Others, though, were fully supportive of the policy.
Some people pointed out certain vaccinations were already required for international travel.
Travellers arriving in Australia from countries at risk of yellow fever, for example, could be asked by border authorities to prove they had been vaccinated against the potentially deadly disease.
The Australian Government has said a Covid-19 vaccine would not be mandatory in Australia but it could become a condition of entry or re-entry to the country.
"While the Australian Government strongly supports immunisation and will run a strong campaign to encourage vaccination, it is not mandatory and individuals may choose not to vaccinate," the Australian Covid-19 Vaccination Policy says.
"There may, however, be circumstances where the Australian Government and other governments may introduce border entry or re-entry requirements that are conditional on proof of vaccination."
