The Archbishop of Canterbury added in the interview that a proposed new role would be for a "presidential figure who can travel more readily".
The 62-year-old is to step down in December after 10 years as Archbishop of Canterbury to take up a new post as Master of Magdalene College in Cambridge.
More top news
Prince Harry's girlfriend Meghan Markle was spotted in the stands at the opening ceremony of the Invictus Games in Toronto.
Soul legend Otis Redding led the tributes to the singer who released his debut album just six years ago at the age of 62.
The shadow home secretary will tell the Labour conference the Tories have pandered to anti-immigrant sentiment and set "bogus" targets.