The Most Rev Justin Welby said he believes a woman will one day be made archbishop and added that some gay couples have loving relationships of "stunning quality", ahead of today's enthronement.
Pressed on the timing, he said: "Oh, I have no idea...when the right person turns up. But, yes, I think there certainly will."
In a separate interview with BBC News, the Most Rev Welby backed traditional Church teaching on homosexuality but said: "You see gay relationships that are just stunning in the quality of the relationship."
More top news
Pitt was due to attend the premiere of a new documentary he narrated, but instead will focus on his "family situation".
ITV News spoke to six Democrats and Republicans to get their views on the dramatic showdown between the two presidential hopefuls.
Nicolas Sarkozy would give Britain the chance to reverse the Brexit vote if he is elected president of France.