Diana married Prince Charles in 1981, aged 20, but the couple would go on to divorce in 1996. Charles and Diana had two children, Prince William and Prince Harry born in 1982 and 1984 respectively.
Mr Burrell was a footman to the Queen before serving as a butler to Princess Diana.
In 1997 he was awarded the Royal Victorian Medal for his services to the royal family.
Speaking to Closer Weekly he said: “Princess Diana always wanted more children.
“She felt that two were not enough.
“She would’ve had an army of children running through the corridors of Kensington Palace.
“And of course, she always wanted a girl.”
Diana was tragically killed in a Paris car crash in 1997, just a year after her divorce had been confirmed.
Also killed were Dodi Fayed, her then partner, and her driver Henri Paul.
READ MORE: Why Diana’s first Trooping the Colour was ‘disaster with Queen’
“She was robbed of the opportunity of loving her grandchildren – especially Charlotte. She would have loved Kate too.”
After divorce from Diana Prince Charles went on to marry Camilla Parker Bowles, who was made the Duchess of Cornwall, in 2005.
He now has four grandchildren, three from Prince William and one via Prince Harry.
According to tapes Diana allegedly sent to royal biographer Andrew Morton Prince Charles had also hoped for a girl.
Diana is reported to have said: “I knew Harry was going to be a boy because I saw on the scan.
“Charles always wanted a girl. He wanted two children and he wanted a girl.
“I know Harry was a boy and I didn’t tell him.”
On Saturday the Queen celebrated her official birthday with a modified trooping the colour ceremony in Windsor.
Soldiers from the 1st Battalion Welsh Guards conducted a socially distanced parade in the grounds of the castle.
The event usually takes place on Horse Guard’s Parade in London, and is followed by an RAF flypast over Buckingham Palace.