During Harry’s UK visit for the unveiling of Princess Diana’s statue, it’s believed the Sussexes’ hopes for a royal ceremony were made known, with the couple wanting their second child to be christened at Windsor.
A source told the Daily Mail: "Harry told several people that they want to have Lili christened at Windsor, just like her brother.
"They are happy to wait until circumstances allow."
If the christening does take place in the UK, it would be Meghan’s first trip to Britain since the couple moved to the US last year.
Lilibet is the Queen’s childhood nickname.
Last month the BBC quoted a senior Buckingham Palace source saying the Queen was “never asked” the name choice.
However, a spokeswoman for Harry and Meghan said: “The duke spoke with his family in advance of the announcement, in fact his grandmother was the first family member he called.
“During that conversation, he shared their hope of naming their daughter Lilibet in her honour. Had she not been supportive, they would not have used the name.”
Meghan gave birth to Lillibet on June 4 at Santa Barbara Cottage Hospital in California and the Queen is believed to have been introduced to her namesake over a video call shortly after she was brought home.
Harry’s decision to name his daughter after her great-grandmother was seen as an attempt by the couple to build bridges with the royal family after they quit as working royals last year.
They further alienated themselves after giving a bombshell interview to Oprah Winfrey in March.