The regions have given nearly 46% of their over 80s their first dose of the vaccination, the highest proportion in England.
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In London and the East of England, around 30% of over 80s have received their first vaccine dose.
According to the Mayor of London, Sadiq Khan, London is not getting enough doses. Speaking to the BBC, Khan said, "The situation in London is critical with rates of the virus extremely high, which is why it's so important that vulnerable Londoners are given access to the vaccine as soon as possible."
The mayor said he would have discussions with Nadhim Zahawi, the vaccines minister, to ensure more doses were delivered to London to meet the city's needs.
Concerns are surrounding the rollout process, with many people having already been given the second dose. In total, it is thought around 400,000 people have already had their second dose of the vaccine. This is despite advice from the UK's chief medical officers and vaccine advisers, the JCVI, to administer as many first doses of the jab as possible before giving second doses.
Between 8th December 2020 and 10th January 2021, 204,140 first jabs were given to over 80s in the North East and Yorkshire. London reported the lowest number of first doses administered to over 80s, with only 92,398.
It should also be noted that the over-80 population is smaller in London compared to other areas of England.
Over 2.2 million people in the UK's top priority groups have received their first dose, including more than a third of over 80s. The head of immunisation at Public Health England, Dr Mary Ramsay described this as "a great achievement".
Although the vaccine rollout is largely successful, Dr Ramsay continues to urge people to continue to follow the guidelines laid out by the government, to protect their loved ones and those that are most vulnerable.
Dr Ramsey said, "These data will help us to evaluate the protection from the vaccine and to effectively target the rollout of the programme to help control the virus and save lives."