But the government says further decisions on reopening international travel to foreign nationals such as visa holders and unvaccinated Australians were still being considered.
The nation’s borders were shut in March last year to all non-citizens and non-residents, with Australian citizens and permanent residents required to secure a government-issued exemption to travel abroad.
It has caused mass disruption for those with families overseas and Australians seeking to return home, who have faced quarantine caps on incoming travellers.
Mr Morrison has also announced that the TGA had advised the Sinovac and Covishield shots should be considered as “recognised vaccines” for the purpose of determining incoming international travellers as being appropriately vaccinated.
Those fully vaccinated will be able to travel freely to countries abroad, subject to travel advice from the Department of Foreign Affairs.
“You can go where you want to go but that is subject only to the normal restrictions,” Mr Morrison said.
The federal government has also indicated it will continue to pursue travel lanes with countries such as New Zealand and Singapore, as well as those in the South Pacific, which would not require quarantine.
Australian citizens and permanent residents who cannot be vaccinated because they are under 12 or have a medical condition would also be treated as vaccinated for the purpose of their travel.
States and territories are expected to begin their home quarantine programs at different times depending on their vaccination rates.
About 40,000 Australians overseas have registered with the Department of Foreign Affairs as wanting to return home on government repatriation flights.
Mr Morrison said the government would offer facilitated flights for Australians overseas into states and territories that agree to commence home quarantine.
“The trigger to enable people to leave and come back and lift those caps – that will be a function of home quarantine being in force and at scale,” he said.