It might be worth while to look at massage therapists who offer TMJ treatments, they have knowledge about temporal and mandible bones on the face/jaw. They would definitely massage the muscles around the whole face and inside the mouth for the jaw joint.
If you have scar tissue or muscle spasm in the lip that you want massaged, I'm not sure if inside the lip would be part of the TMJ treatment.
https://mtam.mb.ca/find-a-massage-therapist.asp Edited by Seana-T, 2023-08-03 21:16:27