A meeting with the health minister has not been able to prevent an upcoming strike by frontline health workers preparing to walk off the job on Tuesday.
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The meeting came as the state recorded 6184 new cases and a further 14 deaths.
Cases of the virus declined by 502 on the previous day and there were eight fewer deaths.
Nine men and five women died aged between their 60s and 90s and four of them were unvaccinated.
Most of the positive cases were recorded from rapid antigen tests, with 2144 PCR tests returning positive results.
Hospitalisations have risen slightly overnight to 1649, with 100 people in intensive care, 47 of them on ventilators.
Nurses in public hospitals will strike this week for the first time in a decade.
Skeleton staff will maintain patient care while nurses walk off the job, calling for minimum staff-to-patient ratios and better pay.
Mr Perrottet said on Monday his government is "working through" negotiations with unions but "a number of issues need to be resolved" and it "would appear unlikely" they can be solved before the strike.
Health Minister Brad Hazzard met with the NSW Nurses and Midwives Association on Monday, where "very graphic experiences" were shared by members, but little progress made on negotiations.
"There's been nothing come out of this morning's meeting that addresses the major claims of our members ... there was nothing put to us in concrete terms about improved wages," the union's general secretary Brett Holmes said on Monday.
Mr Holmes said there was also no indication of a change in position on the presumption that workers who catch COVID-19 caught it at work and are eligible to workers compensation, which the government wants removed.
Paramedics are also planning action on Thursday after being "exhausted, frustrated, and burnt out," Australian Paramedics Association NSW president Chris Kastelan says.
"We've been calling for basic resourcing to ease the burden on paramedics and improve service to our communities. But our pleas are falling on deaf ears."
Mr Kastelan says the union wants 1500 more paramedics hired, specialist programs and state-wide referral networks, and a pay increase that reflects professionalism and skill.
Paramedics will refuse staff movements for 24 hours, a practice where staff are relocated during their shift to fill nearby roster gaps that the union says is used to cut costs and avoid adequately staffing stations.
Opposition Leader Chris Minns says many frontline health workers were "hugely upset that the government ... continued to say that the NSW health system was coping" during the Omicron outbreak in December and January.
"We need to do more than rhetoric ... it's not enough to talk about nurses being heroes. They need to be compensated for the work that they do and they need to be supported," Mr Minns said on Monday.
More than 95 per cent of people aged 16 and over in NSW have received a first dose of a COVID-19 vaccine, while 94.2 per cent are double-vaccinated.
About 48.3 per cent of people have received a booster shot.
Mr Hazzard announced on Monday NSW Health Secretary Elizabeth Koff will resign from the role in March after six years.
Mr Perrottet says he's worked closely with Ms Koff during the pandemic and she will be leaving NSW Health "in a much better place than she found it".
Australian Associated Press