Thank you for your question.
Based on my current knowledge, I do not know of any nerve from the dental system that causes tinnitus, nor have I seen any patient with this condition due to any dental nerve injury etc.
However, do give me some time, and let me get back to you again with regards to this.
It would also be advisable to seek advice from an ENT specialist with respect to this, who may be able to address your concerns better.