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."