One industry leader said it was in talks with vaccine suppliers and the scheme could be introduced as soon as next year.
A Superdrug spokesperson said the firm is speaking “with suppliers about potentially offering a private COVID vaccination service in 2024.
“Ensuring healthcare is as accessible as possible for people is our priority and we’re interested in offering a private COVID vaccination.
“Currently we are gathering information to assess whether it’s a viable option.”
A Boots spokesperson said: “We would like to offer private COVID vaccinations and we are looking into how this might be possible in the future.
“We already offer a range of vaccinations, including flu vaccinations for both private and NHS customers.”
Health minister Maria Caulfield said in an answer to a written question that the government was “supportive of the emergence of a private market for COVID vaccines” in England.