A mayor in one of south west Sydney's areas of concern said the constant changes to the public health order were causing "confusion, mental abuse and discrimination."
On Sunday, NSW Health announced authorised workers from local government areas (LGAs) of concern now have until the end of September 19 to get vaccinated to allow them to continue to work outside of the LGA they live in, provided they have booked their vaccination by the end of September 8.
Previously all authorised workers wanting to go to work were required to be vaccinated by today (September 6).
"The extended deadline means authorised workers from the LGAs of concern must have received at least one dose of a COVID-19 vaccine by the end of Sunday, September 19 to continue to work outside the LGA they live in from September 20," NSW Health said in a statement.
"From September 9, authorised workers will be required to carry evidence of their booking if they wish to leave their LGA for work.
"The requirement also applies to a relevant care worker aged 16 and over whose place of residence or place of work is in an LGA of concern. This includes those who work in an early education and care facility or who provide disability support services."
Mr Carbone said the state government has been playing a "game of bluff" with the community.
"Our authorised workers are the ones that put food on the table and keep Sydney going," he said.
"It's disgusting that those that keep our essentials services going, are treated differently to the same worker, that lives on another side of the road in other LGAs.
"I am very disappointed in the way our community has been treated; don't we have enough to worry about with the virus.
"These constant changes are causing confusion, mental abuse, and discrimination depending on the postcode one lives in.
"I'm not against vaccinations, but the government should be treating everyone the same no matter what post code they live in.
"Stop the games and discrimination and treat everyone the same so we can fight this virus together."
The LGAs of concern are Bayside, Blacktown, Burwood, Campbelltown, Canterbury-Bankstown, Cumberland, Fairfield, Georges River, Liverpool, Parramatta, Strathfield and the following suburbs of Penrith: Caddens, Claremont Meadows, Colyton, Erskine Park, Kemps Creek, Kingswood, Mount Vernon, North St Marys, Orchard Hills, Oxley Park, St Clair and St Marys.