A source told the newspaper: "They are anxious that Harry and Meghan are going to establish a totally separate enterprise that nobody can get under control".
Meanwhile, Prince Harry, Meghan's husband, was spotted out at Easter services Sunday, where he kept his distance from his brother, Prince William. Meghan's mum has lived in California for years, where Meghan was born.
The baby will be seventh in line for the throne, making it very unlikely that he or she will grow up to be the British monarch. The queen has spoken about that as being among the happiest years of her life.
Kensington Royal, aka the Instagram account for Kate and her hubby Prince William, uploaded a sweet snap to mark Queen Elizabeth's 93rd birthday, but there's one person missing from the family photo. Next comes the new baby's father, Prince Harry, and then the newborn.
The Duchess of Sussex and Prince Harry, Duke of Sussex on their wedding day last May.
This won't happen automatically.
And if Prince Harry, 34, and Meghan, 37, welcome their baby today, he or she will share a birthday with cousin Prince Louis.
Doria, who's a social worker and yoga instructor in Los Angeles in the United States, was thrilled about the news that Meghan (37) and Prince Harry (34) are expecting their first child. Why Aren't the Royal Women Defending Her?
"William and Kate are completely in transition as he prepares to take over as the Prince of Wales", the source adds.
The couple both hold roles within the Queen's Commonwealth Trust - Harry is President and Meghan is Vice-President.
Ever since Prince Harry and Meghan Markle tied the knot in May 2018, there have been several speculations which suggest that the royal couple are relocating base. The main stone in Meghan's ring is sourced from Botswana, while the diamonds surrounding it are from the jewelry collection of Harry's mother, the late Princess Diana.