Vaccinations are available anytime between 8am and 7pm until Friday (2 April). People should provide their date of birth and NHS number and, if they still have it, a copy of the letter they will have received from the NHS inviting them to get their jab.
John Denley, Wolverhampton's Director of Public Health, said: "As we move out of lockdown, it is even more important that everyone who is currently eligible for their Covid-19 jab gets it as soon as possible.
"To make it even easier to get the first dose of the vaccine, it is available without an appointment at Aldersley Leisure Village until Friday.
"Please only come along if you are eligible and you haven't had your first jab – and if you already have a separate appointment for your first jab, please keep that one rather than coming to Aldersley."
Everyone will receive a health status check and a pre vaccination assessment before they have their jab. People who are not in an eligible group are being asked not to turn up; checks will be made and people will be turned away if they are not eligible.
As well as Aldersley Leisure Village, people can attend either Saddlers Centre, Walsall or Tipton Sports Academy, Sandwell.
Latest figures show there were 61.6 new cases of Covid-19 per 100,000 people in Wolverhampton over the 7 days to 27 March. That means 162 people in the city tested positive for the virus in that 7 day period – though the true number of new cases will likely be higher.
Anyone with symptoms of Covid-19, which include a fever, a new continuous cough or a change to the sense of taste or smell, must immediately self isolate and book a PCR test by visiting GOV.UK or calling 119.
The latest information and guidance around coronavirus is available at GOV.UK and on the council’s own coronavirus pages. Further details of the lockdown restrictions currently in place, and the answers to frequently asked questions, are available at COVID Alert.