An organ jacket fabricated from human birth tissue comprising at least one cross-linked amniotic membrane, or at least one cross-linked chorionic membrane, or at least one amniotic membrane, or at least one chorionic membrane, or any combination thereof. Methods of processing a membrane to form an organ jacket and methods of preventing graft rejection in solid organ transplantation and methods of reducing the incidence of acute and chronic rejection episodes after solid organ transplantation are also provided.