He told TalkTV: “I wouldn’t rule it out. You never know what she can deliver in four to five years time if she wanted to.
“I don’t think we’ll be seeing an announcement saying that she’s bringing out a book.”
He added: “Harry’s had his say numerous times, Meghan hasn’t. Is the world ready? We fell apart when Harry brought out Spare, are we ready for a Meghan book but it could well happen in a few years time.”
Royal commentator Afua Hagan continued: “That’s a good point actually, Prince Harry has had his say and Meghan has been stoically very silent.
“If she does bring out a book, I don’t think it will be looked back, I think there’s so much more to her.”
However, the Duchess of Sussex was left feeling “embarrassed” by Harry’s memoir.
The 41-year-old was “seeking support” after Harry received a lot of criticism for his controversial memoir published last month.
In the book, the Duke of Sussex recounted how he first had sex in a field behind a busy pub with an older woman. Sasha Walpole, who has been interviewed by the Mail on Sunday, said she is that woman and is now telling the story in her own words.
A source has since revealed to The Spectator that Meghan is “embarrassed by the whole thing and seeking support from mentors”.
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