Despite the fact that the royal couple do not know the gender of their third child, punters seem convinced they have inside information and believe that the royal couple will have another princess, the Daily Express reported, citing the instincts of the British betting public.
The nation is currently suffering from baby-fever, with millions trying to guess the name of the royal baby.
Speculation over the name is hotting up, with many suggesting it could be between Mary or Alice, the report said.
But reports shows a flurry of bets on Alice changing odds from 5/1 to 4/1, it said.
The change in odds could mean that the Duke and Duchess have finally decided. Mary had previously been the favourite, on 3/1, but has now dropped to 9/2 on Betfair.
"With the barriers now up at St Mary's Hospital and the birth of the Royal baby imminent, the name game is heating up for punters and it's the name Alice which we're seeing all the money for this week," Betfair spokeswoman Katie Baylis said.
"For the first time, Alice has become favourite at 4/1 from 5/1, after a flurry of bets, while long-time favourite Mary is now out to 9/2, with bets on the name drying up this week," the spokeswoman said.
"We have also seen a lot of backing for the name Victoria which is now at 13/2 from 10/1, while in the last few days Phillip has also been popular and is now 8/1 from 16/1."
Kensington Palace has not revealed the baby's due date but it was expected that notices would go up around St Mary's Hospital in Paddington a week before the birth, planned at the Lindo Wing where Kate gave birth to Prince George and Princess Charlotte.
Parking restrictions have already been put in place outside the Lindo Wing in anticipation of the birth although the restrictions will only be in place until April 30.
Some reports have been speculating on the due date being April 23 but Kate, the Duchess of Cambridge, has gone beyond her due date for both her previous pregnancies George in 2013 and Charlotte in 2015.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)