Appointments can be booked online via NHS or by calling 119.
Boosters are also being offered to children aged 12 to 15 who are most at risk from Covid-19. Children in this age group who are clinically at-risk, or who live with someone with a weakened immune system, are eligible for a booster three months after their second jab, while 12 to 15 year olds who are severely immunosuppressed are eligible for a booster after their third primary dose.
Councillor Jasbir Jaspal, the City of Wolverhampton Council's Cabinet Member for Public Health and Wellbeing, said: "The impact of the vaccine in preventing serious illness from Covid-19 is clear, and so it's very good news that boosters are now available to even more people.
"So, if you are now eligible for your booster, or you haven't already had your first or second jab, please get it as soon as possible. In doing so, you will give yourselves much greater protection from serious illness if you were to catch Covid-19."
A number of walk-in clinics are operating in Wolverhampton again this week – including Aldersley Leisure Village, the Mander Centre and WV Active Bilston-Bert Williams – offering first, second and booster vaccinations without an appointment. For a full list of local vaccination centres, and age ranges, please visit NHS.
Latest figures show there were 1,199.7 new cases of Covid-19 per 100,000 people in Wolverhampton over the last 7 days. That means 3,155 people tested positive for the virus in that same period – though the true number of cases will likely be higher.