Over 36% of the state's eligible population has received dose number three.
Health Minister Brad Hazzard said the goal is to move towards defining fully vaccinated as someone who has received all three jabs - in order to inflate the target rate.
He said the decision will come down to National Cabinet, who were unable to agree on a definition during Thursday's virtual meeting.
"I'm not part of national cabinet, but I understand that most of these things require a range of medical expert input," he told reporters.
"I think when you've got a committee of a large number of people, all giving their input, sometimes it takes a while to get there."
The Health Minister reiterated the message, "four to six weeks after you've had COVID, you can have the booster" to assist with any confusion surrounding booster availability.
On Friday, booster jabs were given provisional approval for Australians aged 16 and 17.
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