A man in his 80s from south western Sydney is the second person to die in Sutherland Hospital in the last few days after contracting coronavirus.
On Saturday, NSW Health reported the death of a woman in her 80s, from "Sydney's southern suburbs".
There has been only one previous COVID-related death reported at Sutherland Hospital - a woman, 87, who was a passenger on the Ruby Princess cruise ship, died in April 2020.
NSW recorded 1257 new locally acquired cases and seven deaths in the 24 hours to 8pm on Sunday.
Those who died were aged from their 60s to 90s.
There are 1189 cases admitted to hospital, with 222 people in intensive care, 94 of whom require ventilation.
There were 137,668 COVID-19 tests in the latest reporting period, compared with the previous day's total of 105,505.
From today, people across NSW who have received both doses of a COVID-19 vaccine are allowed more freedoms.
For those who live outside the LGAs of concern, up to five fully vaccinated adults can engage in outdoor recreation in a person's LGA or within 5km of home.
Children aged 12 and under will not be counted in this total.
For those who live in the LGAs of concern, a household with all adults vaccinated will be able to engage in outdoor recreation (including picnics) for up to two hours within the existing rules (outside of curfew hours and within 5km of home).
This is in addition to the ability to engage in outdoor exercise. People who live alone in the LGAs of concern can gather with one other adult to participate in outdoor recreation within the same existing rules.