With a year left on his current deal beyond this season, speculation has already started as to the possibility of Reds skipper Gerrard signing up to a further extension.
Rodgers refused to disclose whether talks have already started with Gerrard about a new contract, stating it is "private between Steven, I and the club". Rodgers has, however, made it clear he wants Gerrard - who turns 33 at the end of next month - to stay on at Anfield.
With Gerrard now approaching 15 years' service as a professional with Liverpool, Rodgers said: "He's 32 years and super fit at the moment. He's played every minute of every (Premier League) game.
"We've worked very hard on his individual plan to make him as fit as he possibly can be, and the rest has been down to him really.
"It's about his responsibility on the field, how he manages himself off it. He's been first class, and as a captain he's been brilliant this year.
"So he's 32, 33 in May, and I still see another three to five years left in him yet as long as everything holds up with his body, which this year has been nigh-on perfect.
"So that (a new contract) is something we will sort out in due course."