Currently, 46.2% of the population has had both vaccine doses and restrictions are set to ease at 70%.
However, Berejiklian said that unvaccinated people could expect to live with tough restrictions even when the 80% target is met.
"Don't assume that at 80 per cent double-dose vaccination that unvaccinated people are going to have all those freedoms. I want to make that point very clear," she said.
"The government is yet to finalise its plans in relation to what happens at 80% double dose. Our key message is – come forward and get vaccinated because once we start opening up at 70 per cent double-dose vaccination, the higher the rate of adult coverage of people 16 and over that are vaccinated, the better it is for all of us."
Berejiklian went on to say, "I want to say it clearly – that if you're not vaccinated, you will not have the freedom or the freedoms that vaccinated people have even when we get to 80 per cent double dose."
New South Wales recorded 1257 new COVID-19 cases on Monday, with 7 further deaths reported.