Andy Murray is odds-on to be knighted before next year's Wimbledon tournament.
The odds on the Scot receiving a knighthood is just 4/5 following a surge of bets after his historic victory, Ladbrokes said.
The tennis star's girlfriend Kim Sears is expected to become Mrs Murray within the year with odds cut to 1/2 that the couple will get married.
And the odds of the royal baby being called Andrew (20/1) or Murray (250/1) in the wake of his victory have also been slashed.
Andy Murray was coy on whether he would propose to long term-girlfriend Kim Sears saying "you never know".
When pressed on whether he has plans to propose to his girlfriend of eight years, Murray said: "I haven't planned it. But you never know."
Murray said he was "relieved" to win to put the pain of last year's defeat which left him "sobbing into (his) pillow for two or three days" behind him.
The British number one said he hoped more kids would start playing tennis as a result of his victory, but insisted there needed to be greater access to the right facilities for that to happen.
He said: "I wanted to be there to support Andy Murray. I'm a keen tennis fan, it's my favourite sport, I try to play maybe once a fortnight. I very much wanted to be there to cheer him on.
"As Prime Minister you are very lucky to get the chance to go to things like that. It's something I particularly wanted to go to."
He added that he took his mother Mary, who sat next to Wayne Rooney, to the game to thank her for all she had done for him: "They asked, I said I would really like to go so they put me in the Royal Box.
"They decide where they put you. I took my mum, I was given two tickets and my mum is a real tennis fan."
"What the Andy Murray story shows is that if you are really dedicated and if you work really hard and if you set yourself a goal, you can achieve it. That's what Andy Murray did and it was a dream come true for him yesterday," Mr Cameron said.
Andy Murray's Wimbledon victory was watched by a peak of 17.3 million viewers, the BBC said.
The 26-year-old World Number Two beat Serbian world number one Novak Djokovic in straight sets to become the first British man to lift the coveted trophy for 77 years.
The BBC said that Sunday's Men's Final, broadcast on BBC1, attracted a five-minute peak of 17.3 million.
It said that the figure was up on last year's final, which was watched by a peak of 17 million when Murray lost to Roger Federer.
David Cameron has fuelled speculation that Wimbledon champion Andy Murray will be awarded a knighthood, saying: "I can't think of anyone who deserves one more."
A yachtsman, who was celebrating Andy Murray's Wimbledon win had to be rescued by Cowes RNLI lifeboat yesterday evening.
The 45-year-old was aboard his friend's 39-foot yacht moored in Newtown Creek, when he decided to take a celebratory dive into the sea.
As he hit the water, however, his right shoulder became dislocated. Although his arm was now firmly stuck in the air he still somehow managed to swim to the boat's rear platform where he was helped back on board by the owner.
Former British number one Greg Rusedski has said Andy Murray played the "match of his life" to finally end 77 years of hurt for British tennis fans and win Wimbledon.
Rusedski said: "He got off to an absolute perfect start and found a way to get it done. We never thought he would get it done in three sets. It was just magical. Murray played the match of his life."
The former player said Murray was in a "daze" and "could not take it in" when he visited him straight after the match in the locker room.
Rusedski also boldly predicted that Murray would become the world number one and the favourite to defend his title next year.
Andy Murray is "emerging as a multiple major champion" after his Wimbledon victory, according to former champion Boris Becker.
Writing for the Daily Telegraph, the German said: "Murray is no ‘one-slam wonder’. I see this as a sign that he is emerging as a multiple major champion. The fact that he has reached so many grand slam finals just goes to show how fine a player he has grown into.
"I do not see any reason why he is not going to collect several more of these titles, most likely having to face his great rival Djokovic on the other side.
"You simply could not write a better story than this. All the effort that has gone into his improvement, all the significance of tennis in his family with his mother Judy and brother Jamie, has been brilliantly rewarded."