The 33-year-old royal's baby is expected before the end of April and it's been claimed that Kate's due date could have been as early as last Wednesday (April 22).
Now the Telegraph reports that Kate and Prince William may have already spoken to doctors at St Mary's Hospital in Paddington, London, about the possibility of inducing labour.
A source, whose children were born at the hospital's exclusive Lindo Wing, told Telegraph reporter Gordon Rayner: "The doctors don't normally wait for more than a week.
"They will probably already have been in touch with Kate, and talked about which day which suit her best to go in and be induced if the baby doesn't arrive in the next couple of days."
A Kensington Palace source said last week: "We haven't ever confirmed a due date."
Prince George was born three days late when he arrived at the hospital in July 2013.
The joint favourite dates for the royal baby to be born are tomorrow and Tuesday at 6/1 - with Wednesday priced at 7/1 and Thursday 8/1, according to Coral bookmakers.
It's also offering evens on a morning birth, 3/1 on the baby arriving in the afternoon and 2/1 on it being in the evening – while Alice (5/4) and Charlotte (5/1) are the favourite names.
Meanwhile Prime Minister David Cameron has defended William and Kate for opting to use private health services rather than the NHS.
Asked if he was disappointed the Royal Family did not use the NHS, Mr Cameron told Sky News: "I think it's a total matter of choice for people - what they use and where they have their babies. All I hope and pray for is there'll be happy, healthy news for that wonderful couple and for the whole country."
Are you utterly bored of this royal baby speculation while Kate's probably holed up eating cake and watching daytime telly?
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