“It’s quite a dramatic drop,” Health Minister Brad Hazzard said.
“Please don’t ruin that, please don’t let this side down. This is a game that we all must win.”
Any close contact who is vaccinated will only be required to get tested and self-isolate for seven days, instead of 14.
Self-quarantine rules for people who have been in close contact with a positive case are being relaxed from October 11.
The cases recorded in the latest reporting period were the lowest since August 19.
“All the hard work that we have done … to have gone from 1,599 cases just three weeks ago to 667 cases today has taken a lot of hard work.
If a person tests positive for COVID-19 they will be have to self-isolate for 14 days, regardless of their vaccination status.
Mr Hazzard said 66.5 per cent of the state’s population aged 16 and over was now fully vaccinated, and 88.1 per cent had received their first dose.
The Health Minister expects the state to hit its 70 per cent milestone in the middle of the week. More to come.