That's correct, it's a dampener and not a light seal. You should check that the gummy chucks are not going around the body of the camera, and particularly that they're not stuck to the shutter. It has to be replaced as soon as possible. I would refrain from operating the camera in the meanwhile, as other chucks may detach and stick to mechanical moving parts.
I'm sure someone will indicate some repair shop in your area that will accept to rehaul only this detail of your camera. I suggest, however, that you also ask for the shutter speeds to be tested, especially to check if the 1/1000th exposes the entire frame.