Classifying the inoculation programme as his “priority,” Morrison will add that the country's economy must now begin to wean itself from government spending.
Australia has pledged more than A$250 billion in stimulus, which has already begun to taper.
Highlighting recent strong economic data, Morrison will say there is a limit to the support government can afford.
“We are not running a blank cheque budget,” Morrison will say in the speech.
Morrison's speech comes as the Australian city of Perth begins its first full day of lockdown after the detection of a Covid-19 case.
The person infected, a security guard in his 20s, was working at a hotel where four people in quarantine had active cases of the virus, including the highly contagious strains that have been linked to Britain and SA, local health authorities said.