However, it is expected that dividing up his estate which includes homes in London, Miami and Oxfordshire could take some time.
A source told The Sun newspaper: “Probate could take years to sort out. No one but Claire’s received anything so far.”
Claire didn’t attend the funeral with her daughter Snow Robin after Dwina told friends she would be unhappy if their former housekeeper was present, though she didn’t ban her outright.
A friend said: "Dwina has said that she would loathe her to be there but there won't be any scene whatsoever if she came along to pay her respects."
Robin had a long affair with Essex-born Claire, who was asked to leave the Gibbs' 12th century mansion by Dwina, 59, after she got pregnant.