Wimbledon champion Andy Murray said a knighthood would be a "nice thing to have" after Mr Cameron fuelled speculation that he would be recommended for the honour.
The prime minister said honours were decided independently but added: "I can't think of anyone who deserves one more."
Murray said: "I think it's a nice thing to have or be offered."
"I think just because everyone's waited for such a long time for this, that's probably why it'll be suggested, but I don't know if it merits that. I don't know."
Despite his historic win, Andy Murray remains modest, telling ITV News he doesn't feel he deserves it for winning a sports event.
Andy Murray became the first British man to win Wimbledon since Fred Perry in 1936. Here we look at the tennis star's career in pictures.
After Andy Murray's Wimbledon victory yesterday, we look at British hopefuls looking to replicate his achievements.