Speaking while visiting a school in Cornwall during the G7 summit today, the Duchess of Cambridge said she could not wait to meet the baby girl, whose full name is Lilibet 'Lili' Diana Mountbatten-Windsor.
Appearing alongside US First Lady Jill Biden this afternoon, Kate told reporters: 'I wish her all the very best, I can't wait to meet her because we haven't yet met her yet, so hopefully that will be soon.'
Kate was asked the question by NBC journalist and anchor Andrea Mitchell. Asked by another reporter if she had spoken to Lilibet on Facetime, the Duchess replied: 'No I haven't.'
It comes three months after Meghan claimed in her interview with Oprah Winfrey that Kate made her cry before she married Harry, but also insisted that she had now forgiven Kate who bought her flowers to apologise.
Kate Middleton spoke while in Hayle, Cornwall, today (left) - one week after Prince Harry and his wife Meghan Markle welcomed their second child who is a younger sister to Archie (right, pictured together in South Africa in September 2019)
The Duchess of Cambridge and US First Lady Jill Biden visit Connor Downs Academy in Hayle, Cornwall, this afternoon
Today, the Duchess and Dr Biden were visiting an academy school for four to 11-year-olds today to highlight issues surrounding the early years development of children during their meeting as the G7 summit began.
The two women met for the first time at Connor Downs Academy in Hayle in Cornwall, where world leaders have gathered for their summit, as they toured a classroom and spoke to some of the younger children at the school.
They also brought carrots which were fed by the children to the school's pet rabbits. Kate and her husband Prince William are taking part in their first G7 events, another milestone in their progression as senior royals. Later today, William and Kate will join the Queen, Prince of Wales and Camilla at the G7 Leaders' reception at the Eden Project.
Prince Charles and William will host a reception for the leaders and chief executive officers from some the world's largest companies to discuss how the private sector can work with governments to tackle the climate emergency.
The Queen is then set to host Dr Biden and her husband, US President Joe Biden, at Windsor Castle for tea on Sunday, one day after celebrating her official birthday with a scaled-back Trooping the Colour ceremony.
The Duchess of Cambridge and US First Lady Jill Biden laugh together during a visit to Connor Downs Academy in Hayle today
Kate Middleton and the First Lady at the Connor Downs Academy in Cornwall today looking at a project with the children
Dr Biden showed children a picture of the White House, where she lives in Washington with the US President Joe Biden
Lilibet 'Lili' Diana Mountbatten-Windsor, named after Harry's grandmother Queen Elizabeth II and his late mother, Princess Diana, was born one week ago at the Santa Barbara Cottage Hospital in California.
Her birth comes almost a year and a half after Harry and Meghan announced that they intended to step down from their royal roles, plunging the family into crisis, and moved into an £11million mansion in Montecito.
Their relationship with the royals further deteriorated after the interview with Oprah in March, in which they accused one of making a racist remark and said Meghan's pleas for help when she felt suicidal were ignored.
Also during the interview, Meghan claimed that Kate made her cry before she married Harry in May 2018 - but Meghan also insisted that she had now forgiven Kate, who had purchased flowers for her to apologise.
The infamous row before the wedding made headlines around the world after a supposed falling out over dresses for the flower girls, with sources initially claiming Meghan had been left displeased with the 'stressful' fitting.
The pair, who have never met before, shared a laugh as they arrived for the official visit in Cornwall this afternoon
The Duchess of Cambridge talks with children in the Hayle school's reception class during her visit this afternoon
(From left) Prince Charles, Prince William, Kate Middleton, Meghan Markle and Prince Harry in Norfolk in December 2018
Accounts differ as to whether the cause of the row was a disagreement on whether the bridesmaids should wear tights - Meghan reportedly believed they should not - or over Princess Charlotte's dress not fitting.
This week, the Duke and Duchess of Sussex launched an unprecedented legal attack on the BBC after the corporation claimed the couple did not ask the Queen if they could name their daughter Lilibet.
The extraordinary row exploded after days of claim and counter-claim over whether the Queen had been consulted or just informed of her new great-granddaughter's name and when.
Harry is due to return to the UK later this month to join William for the unveiling of a statue of Diana which the brothers commissioned four years ago in her memory. It will be unveiled at Kensington Palace on July 1.