The 32-year-old is in his 14th year with the Anfield side and although he has not been as potent in front of goal as in previous seasons, Rodgers believes that he is thriving as a senior figure at the club.
"Over the years Steven has always been the player who makes the difference," Rodgers told reporters.
"He may not have had the goals this season that he has wanted but he still been effective. He has obviously had to take on more of a mantle because it is a much younger group.
"There is probably a bit more responsibility on him in relation to looking out more for the team because of the youthfulness of the team.
"I just want him to be the player he is. The great thing is he wants to penetrate. Our game isn't about possession, though it is about keeping the ball of course.
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"It's about tempo and the speed of the game, and the way he plays, passes and the tempo of his game is superb."
The 39-year-old also hinted that he may try to sign Chelsea striker Daniel Sturridge, stating that he hopes to bring a few players in, and that there is always uncertainty whenever new managers come into clubs.
"You never know when new managers go into clubs, but we will see what happens over the course of the market for us," Rodgers added.
"Hopefully we can get a few in. Obviously Ian Ayre has been dealing with transfer stuff in the background and doing a great job along with the recruitment team."