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
Parts of the UK will feel colder than the Arctic Circle in the coming week as bitter winds make it feel -15C in some places.
At least three people have been killed in clashes in eastern Ghouta just hours after the UN Security Council backed a 30-day ceasefire.
Very Very Cold !