People aged 12 and over can get a first and second dose of the vaccine. Boosters are available to people aged 16 and over, and some children aged 12 to 15.
Meanwhile, 5 to 11 year olds who are either in a clinical risk group or who live with someone who is immunosuppresed are now eligible for a Covid-19 vaccination.
Councillor Jasbir Jaspal, the City of Wolverhampton Council's Cabinet Member for Public Health and Wellbeing, said: "Vaccines provide strong protection against serious illness from Covid-19 and will help keep you and your loved ones safe.
"Indeed, the Government said last month that, if you’re unvaccinated, you’re about eight times more likely to be hospitalised with Covid-19 than if you’ve had both doses of the vaccine, and your booster.
"Nearly 2,000 people in Wolverhampton tested positive for Covid-19 last week so remember, if you're due a vaccination and you haven't yet had it, it's not too late. And, to make it as easy as possible for you to get your jab, there are numerous walk-in clinics operating throughout Wolverhampton again this week.”
There were 743.6 new cases of Covid-19 per 100,000 people in Wolverhampton over the last 7 days. That means 1,956 people tested positive for the virus in that same period – though the true number of cases will likely be higher.