Vintage Jacques Fath Paris alligator handbag shoulder bag

Nice vintage Jacques Fath Paris alligator skin handbag. The bag portion looks good for age but strap is not in good condition. Still in one piece but cracked in several places. I think a cobbler could repair it. I’m not sure. Maybe just by sewing a new piece of leather along the length to reinforce strap as to keep the original strap. Idk. 6 3/4 x 4 1/4 Bag portion Bag B