It comes after New Zealand also said it would be looking at limiting the number of arrivals in the country via a booking system.
The prime minister said there were no plans to reimpose restrictions across the country, after Victoria enforced stay-at-home rules in metropolitan Melbourne and one regional area due to a spike in infections.
Morrison was asked about the issue of travel bubbles being set up with other countries and taxing travellers.
"We haven't even concluded in the arrangements with any other countries at the moment.
"It will be some time yet before we even were able to achieve that even for New Zealand or potentially any countries in the Pacific."