NHS chiefs say the vaccination centres have been set up to allow as many people as possible to receive their vaccine safely and efficiently.
A spokesman added: “Anyone unable to leave their home will receive the vaccine at home, but where an eligible person is invited to attend their local vaccination centre and can, we would urge them to do so.
The younger Mr Fenton said his parents, a retired Ipswich GP and nurse, have been “very happy” at Oak House and their care is excellent.
But when it comes to the jabs, he also fears for other residents there, adding: “There are dozens of people due a vaccine in Oak House. They shouldn’t all be made to travel independently.”