Alex Apati of Ladbrokes said: "As if one Royal Wedding and one Royal Baby wasn't enough, it's looking increasingly likely there'll be even more good news coming from Buckingham Palace later this year."
The couple, who currently live together at Nottingham Cottage in Kensington Palace, will tie the knot in St. George's Chapel, Windsor Castle, on 19th May - just five months before Harry's cousin Eugenie weds Jack Brooksbank at the same venue.
The news comes just days after the bride-to-be's former sister-in-law claimed Meghan is "desperate for kids" and is likely to try for a baby on her honeymoon.
Erin Specht claimed the US actress 'will get pregnant in her first year of marriage'.
If the couple are indeed planning to welcome their first child in the next year, it will contradict their comments on starting a family during their televised engagement interview in November.
When asked if children were on the cards, Harry replied: "Not currently, no. No, of course, you know, I think one step at a time, and hopefully we'll start a family in the near future."