Government guidelines state that booster injections will initially be offered to people aged 50 and over, health and social service workers and the most vulnerable.
The boosters will be offered approximately six months after the second Covid jab.
Well Pharmacy said people will also be offered an NHS flu shot during their appointment for the booster shot.
Pharmacy Superintendent Ifti Khan assured customers that it was safe to have both injections at the same time.
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Ifti said: “Every vaccination is a life protected or saved.
“Having both vaccines will give you and your loved ones the best protection this winter against serious illnesses caused by Covid or the flu. “
Director of Operations Louis Purchase said, “We are delighted and proud to play our part in the rollout of the Covid-19 booster vaccination program.
“The Community Pharmacy is uniquely positioned to help the NHS deliver nationwide immunization services on a large scale and at a pace within a community health care setting.
“Our highly trained and highly skilled pharmacists and pharmacy teams are readily accessible, trusted and known to the local community to support their health and well-being. ”