the pope did not have to name a coadjutor cum jure succesionis ("with the right of succession"). In practice, popes sometimes appointed coadjutors without the right of succession. These coadjutors usually served in large archdioceses. They might hold other important posts within the Catholic Church, or might be auxiliary bishops that the pope wanted to honor with the title of coadjutor.

For example, Pope Paul VI in 1965 appointed Auxiliary Bishop John J. Maguire