Isle of Wight residents aged 65 and over are among those being invited to have their COVID-19 vaccine.
Those recently added to the government's shielding list and adult carers in receipt of a carers allowance can also book appointments at Newport's Riverside Centre.
This week letters will also be going out to local people who are aged 64 inviting them to book.
David Noyes, Chief Operating Officer at Solent NHS Trust, said:
"We are really proud to be playing a key role in the NHS's biggest ever vaccination programme. It has been fantastic to see the positive reactions of people as they receive their first doses."
"We know that the vaccination is a real way out of this pandemic. We are encouraging eligible people to book their vaccination online using the national booking system, or to call 119 if they are unable to use the internet.
"Anyone aged 65 to 69 who has not yet been vaccinated is now being urged to respond to their recent invite to get their life saving coronavirus vaccine.
"People who have been added to the government's shielding list and people in receipt of carers allowance can now book an appointment. They do not need to wait for a letter.
"We have appointments available 7 days a week, between 8am and 8pm and you can choose the centre which best suits you."
An appointment is required for people to get their vaccine. No walk-ins are allowed.
This can be booked online or by calling 119.