Officials have formed hospital “hubs” across England, Wales, Northern Ireland and Scotland to administer jabs.
They have not yet disclosed the exact number of people who have received one yet, however.
The BBC received some vague confirmation from “senior NHS sources” earlier this week who revealed providers had carried out “thousands of vaccinations”.
The UK’s virus campaign will see 800,000 doses of the vaccine doled out, but will only fully vaccinate half the number of people.