The number of Long Island residents who will be eligible to get the COVID-19 expands further Wednesday, but some seniors still say they're finding it difficult to get an appointment.

Public-facing government and public employees, nonprofit workers who provide public-facing services and essential in-person public-facing building service workers will become eligible Wednesday.

This comes as three new sites at SUNY Old Westbury, Suffolk Community College in Brentwood and SUNY Stony Brook Southampton Campus will start booking appointments Wednesday. The sites will officially open Friday, and all appointments can be made on the state's Am I Eligible website.

Woodbury's Florence Lieber is one of many who have told News 12 about their difficulties getting the vaccine.

"For the people that are older who don't have computers or are not computer literate, it's impossible for them to get an appointment," says Lieber.

Back in January, Nassau County announced help for seniors would be coming. County Executive Laura Curran provided an update Tuesday.

"We're just putting the finishing touches on our way for seniors to get access who don't have computers. We're looking to announce that in the next day or two," says Curran.

Curran says 27.5% percent of all of Nassau's residents have at least gotten one dose of the vaccine. County officials say that's nearly 50% of its eligible population.

Curran says there will also be two more pop-up sites this weekend in New Hyde Park. In addition, the Nassau Coliseum site is close to being up and running.

Suffolk officials say about 43% of its eligible population has received at least one dose.  

Each of the new state-run centers will have the capability of vaccinating about 1,000 people a day if the supply keeps up.