Sturridge has been a hit since his £12million January switch from Chelsea, bagging five goals in just eight starts.
Rodgers admitted: "For me, the striker drives the train.
"Luis has played up there and is a great leader, the way he presses up there.
"This is why you love him as a manager.
"He has an absolutely amazing appetite for the game.
"He looks a bit tired with all the flying but he's out there working, running, chasing and doesn't get enough credit for it."