Sterling, who has been in fine form for the Reds in recent weeks, has been tipped to force his way into Roy Hodgson's England squad for Brazil this summer following Theo Walcott's season-ending injury.
Rodgers has been impressed with the 19-year-old's attitude this season but has urged him to remain focused on his club football for the time being.
"Raheem's obviously one of the outstanding talents in the under-21 team and Walcott's injury certainly opens up a door," said Rodgers.
"But all he can do is concentrate on his Liverpool career and everything else follows that.
"He's played nine games now on the spin and been excellent in them, so hopefully he can continue that run of form and do his job, which is to score goals and create goals.
"He's been outstanding, brilliant, and has played really well in some big games.
"In other games he was very prominent. I think you've seen what he can give to the team when he's really focused.
"He's in a good moment now. He's happy and really focused on his football and he's consistently producing.
"I've been really pleased for him because he's a good kid. He's taken a bit of stick from me since I've come in here but it's always been in the best interest of him and the club."