, the couple plan to set up a base there after being seen in the area last September following the
Invictus Games in Dusseldorf,
Germany.
Royal expert Hugo Vickers told The Sun Harry's close bond with his cousin should be "encouraged" and will " keep these avenues of communication open".
The royal author suggested a friendship between Harry and Eugenie's children "could be a wonderful route in" to royal life.
Mr Vickers hinted it may provide a way to form connections with Prince William and Princess Kate's trio, Prince George, 11, Princess Charlotte, nine, and Prince Louis, six.
The Sussexes share two children Archie, five, and Lilibet, three.
They are similar in age to Eugenie and Jack's two sons - August, three, and Ernest, one.
Why did Prince Harry and Meghan Markle step back as senior working royals?
PRINCE Harry has always wanted out of the Royal Family and the repercussions will be felt for years, an expert has claimed.
The Duke of Sussex has lived in California with his wife Meghan Markle since 2020 after they dramatically quit their jobs as working royals and moved across the pond.
Katie Nicholl, who is Vanity Fair's royal correspondent, told The Sun's Royal Exclusive show that Megxit did not come as a surprise to her.
Speaking to The Sun's Royal Editor Matt Wilkinson, the commentator explained: "Anyone who knows Harry is aware he's always wanted a way out of the Royal Family.
"He's said multiple times on the record that he wished he'd never been born a prince.
"I think he really is living the life he wants to now. It's very, very sad that it's played out the way it has.”
In a statement made on the Sussexes' account as they stepped back in 2020, the pair wrote: "After many months of reflection and internal discussions, we have chosen to make a transition this year in starting to carve out a progressive new role within this institution.
"We intend to step back as ‘senior’ members of the Royal Family and work to become financially independent, while continuing to fully support Her Majesty The Queen.
"It is with your encouragement, particularly over the last few years, that we feel prepared to make this adjustment.
"We now plan to balance our time between the United Kingdom and North America, continuing to honour our duty to The Queen, the Commonwealth, and our patronages.
"This geographic balance will enable us to raise our son with an appreciation for the royal tradition into which he was born, while also providing our family with the space to focus on the next chapter, including the launch of our new charitable entity.”
Mr Vickers told The Sun: "I think what you say about you know the connection between the Brooksbank children and Prince Harry's children could be very significant as the years go on, because they will know their cousins as they grow up. And that could be a very nice way in.
"I have always thought that it's very sad for Archie and Lilibet that that one day it'll dawn on them that their cousin is going to be the King of England one day, and normally you'd really rather like to get involved with all that I would have thought, it could be a very interesting extension to life, and so that could be a wonderful route in.
"I think that's a very significant point."
Mr Vickers also felt there is "a big part" of Harry "that wonders what he gave up".
The royal expert believed he would "encourage" his children to have the same options he had as a working royal - something he himself "was terribly good at".