I would like to talk with him to prove him that I can do the work.
So talk to him.
Explain that you know your performance has been sub-par this year, but that but that you are now back on track and fully motivated. Point out that your performance prior to this year has been terrific (if that's actually the case). Ask for a chance to prove that you can do the job (talking won't prove anything, but your actions might).
It may not work, but at least you should give it a try.