Buying car with lien, title process. California

Looking to buy a car in California with an active lien/loan through mechanics bank. The bank said they can’t transfer the loan to another person since they do not offer car loans anymore. They just have the option for another bank to take over the loan.

If I were to go and pay it off then the bank would send the title to the person I am buying the car from. This means my only security of the vehicle is just a bill of sale while it is still titled in the sellers name as they send the title over.

I’m not looking to transfer the loan to another bank, just fully pay it off on the spot in cash and have the title signed over. Is there any way to do this?