Four more people, including another three passengers from the Ruby Princess cruise ship, have died from coronavirus in NSW.
However, the number of new cases has fallen again, to 87 in the 24 hours to 8pm on Saturday, taking the total number to 2580.
Health NSW said the rate of increase per average day had fallen over the past fortnight from just over 25 per cent to about four per cent, but it was too early to tell whether this trend will be sustained.
There have been 10 deaths among passengers from the Ruby Princess..
Health Minister Brad Hazzard said at a press conference on Sunday the latest victims of the disease were all men, aged between 61 and 91.
Mr Hazzard said 121,443 tests had been carried out in NSW, which was an "incredible" performance by pathologists, health workers and GPs across the state.
There were 39 people in hospital intensive care units, of whom 23 were on ventilators.
"This is an extremely dangerous virus. It is still marching through our community and people need to be on high alert," he said.
"It has killed 16 people in NSW."
Mr Hazzard appealed for people, particularly those in younger age groups, to take the virus seriously.
"If you have never had a severe bout of pneumonia , a severe bout of asthma, and I have had both, the effect, whether or not you have a fever, is you end up with a lack of oxygen," he said.
"I remember very much that feeling almost like drowning. You just can't the oxygen into you.
"So, for those people who think this is something you can flick away, it's not. It's a very serious virus."
Mr Hazzard said he kept hearing that young people were thinking it would not affect them.
"Out of the 2580 cases in NSW, there are 565 people under the age of 29," he said.
"That's 26 per cent about a quarter of all the cases in NSW,.
"There are 105 cases of people under 19.
" 'Take it very seriously' is my message to young people."