Yes, there are reports of trigger points in the jaw muscles being at least partially responsible for tinnitus (see e.g. https://www.amazon.com/Trigger-Point-Therapy-Workbook-Self-T... which, if you have any muscle related pains, will likely blow your mind.) I have exactly the same experience as you. I also get jaw induced headaches from biting my nails etc and my impression is that it is associated with an increase in my tinnitus.

Probably a related mechanism, but I can also sometimes hear my eye muscles working. It only happens if I'm sick or otherwise feeling under the weather, but moving my eyes rapidly is then associated with a swoosh-like auditory impression. I haven't heard anyone else experiencing this so far.