Staff from Mayfield Medical Practice in Cromwell Road, Wolverhampton, began giving the injections to care homes in the east of the city over the weekend.
Dr Kewal Krishan said the surgery received 400 doses of the AstraZeneca vaccine last week, which enabled it to start immunising people living in care homes.
But he said patients coming into the surgery for immunisation would continue to get the existing Pfizer vaccine rather than the AstraZeneca jab, at least for the time being.
"We've been doing that for three weeks now," he said.
"The advantage with the AstraZeneca vaccine is it is easier to transport when we are visiting patients in their homes and in care homes.
"For an area like ours, which doesn't have that many care homes, the 400 doses is ample, although in other areas where there are more, if they only got 400 that might not be enough.
"We have been promised there will be more supplies coming in shortly."