The clinics provide first, second and booster doses and all offer walk in or pre-booked appointments.
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.
For a full list of local vaccination centres, please visit Find a walk-in coronavirus (COVID-19) vaccination site. To book an appointment in advance, please visit NHS or call 119.
Councillor Jasbir Jaspal, the City of Wolverhampton Council's Cabinet Member for Public Health and Wellbeing, said: "The vaccine remains our best defence against Covid-19 and, as the country tries to return to normal with the lifting of more restrictions this week, it’s even more important that people make sure they have as much protection as possible.
"You might think that the removal of all Plan B measures on Thursday means that the pandemic is over, but sadly that's far from the case.
"Nearly 3,000 people in Wolverhampton tested positive for Covid-19 in the last week alone, and we are still seeing high numbers of people in hospital with the virus.
"So, if you haven't already, please do the sensible thing – get your jab if and when you can, and give yourselves defence against serious illness if you were to catch Covid-19.
"If you have been putting off having your jab, for whatever reason, now is the time to take it action – the vaccine remains the best protection for yourselves, your loved ones and your wider community.”
Sally Roberts, Chief Nursing Officer for the NHS Black Country and West Birmingham Clinical Commissioning Group, said: “Whether it’s a first, second or booster dose, we’re encouraging anyone eligible to come forward and grab a jab this week.
“There are now more clinics than ever delivering vaccines across the area, including pharmacies, GP practices and vaccination sites, meaning it’s never been easier to get a jab. So, please come and see us this week and get yourself protected.”
Latest figures show there were 1,113.8 new cases of Covid-19 per 100,000 people in Wolverhampton over the last 7 days. That means 2,929 people tested positive for the virus in that same period – though the true number of cases will likely be higher.