Liability insurance & moving out before contract ends

Hello,
I am going to move out from my current place 2 months before the current contract ends and register at the KB at a new place. The moving out protocol from the current place will be 2 months from now. I assume this is a common situation, but could it be that my liability insurance doesnt cover my accumulated damages at the room because when the inspection takes place I won't be registered at that address anymore?

Thanks for any insight