Nassau County is opening its newest vaccination site Saturday at the Yes We Can Community Center in Westbury.

A new group of essential workers and elderly Long Islanders will be able to make appointments to receive the COVID-19 vaccine starting on Monday.

Those people are part of phase 1B, which is made up of teachers, police, firefighters, transit workers and anyone over the age of 75.

Phase 1A, the initial group for whom vaccinations have already been underway, covers health care workers as well as nursing home residents and staff.

Gov. Andrew Cuomo says there will be thousands of new locations where people in phase 1B will be able to make a reservation and eventually be vaccinated.

But Cuomo says none of those distribution centers will likely have enough vaccines to meet the immediate demand.

Bob Caiati, a visiting nurse with Coram Home Care in Plainview, says staff are eligible to get a COVID-19 vaccine - but cannot find one. He says he called Urgent Care in West Babylon, where he was told they did not have vaccines.

Meanwhile, Northwell Health has vaccinated 45,000 hospital workers so far. Hospital officials say since the monumental rollout started four weeks ago, it is now picking up speed.

The governor also says those signing up to be vaccinated can expect to see widely varied timelines. Because of short supply, some in group 1B might have to wait several months to receive their first dose.

At the rate New York state is currently receiving the vaccine from the federal government, Cuomo says it could take several months before 70% of the people in groups 1A and 1B are vaccinated - which is the amount needed to achieve some level of herd immunity.

The state receives 300,000 doses per week.