* Victoria recorded the first Australian coronavirus death since October 28, a woman in her 70s who died from complications relating to an earlier diagnosis of COVID-19.

* Her death takes the state's toll from the virus to 820 and the national figure to 908.

* Victoria recorded no new cases on Monday - the 31st day in a row - as thousands of workers were allowed to return to the office for the first time in nine months.

* Premier Daniel Andrews revealed details of Victoria's revamped hotel quarantine program, with no private security guards to be used when it restarts on December 7.

* The Victorian government announced it would split up the Department of Health and Human Service in the wake of this year's COVID-19 crisis, with the creation of the Department of Families, Fairness and Housing.

* A man who tested positive for COVID-19 and sparked renewed concern over Adelaide's cluster of cases has been cleared of any wrongdoing. No new cases were added to the Parafield cluster on Monday which stands at 33, with only 14 of those still considered active.

* The Queensland government will wait another week before making a decision on reopening its border to greater Adelaide "before Christmas", as thousands of visitors from southern states prepare to flock to the Sunshine State.

* NSW recorded zero new locally transmitted cases, as well as nine cases in returned overseas travellers, marking its 23rd consecutive day of no new local infections in the state.

* Federal Health Minister Greg Hunt said hitting the mark of 10 million coronavirus tests is a significant national achievement.

* Australia's coronavirus tracing app is set to receive a Bluetooth upgrade to better identify close contacts after coming under fire for its track record.

* Australia accepted its first flight of international students in many months, with more than 60 international students arriving in Darwin as part of a pilot program.

--

AUSTRALIAN CORONAVIRUS NUMBERS

* There were nine new cases recorded in Australia - all overseas travellers in NSW hotel quarantine.

* The national death toll is 908: Victoria 820, NSW 55, Tasmania 13, WA 9, Queensland 6, SA 4, ACT 3. (Two Queensland residents who died in NSW have been included in the official tolls of both states).

--

GLOBAL CORONAVIRUS NUMBERS

* Cases: at least 62,739,000

* Deaths: at least 1,459,000

* Recovered: at least 40,127,000

Data current as of 1815 AEDT November 30, taking in federal and state/territory government updates, Worldometer and Johns Hopkins Coronavirus Resource Centre.

Australian Associated Press