The 28-year-old has thrived for the Reds during 2013 and has notched a goal in each of his last two appearances.
"I've been delighted with Stewart, he has come into the team and made the position his own. He has been absolutely outstanding," Rodgers told Liverpoolfc.com.
"There's no doubt about Stewart's qualities and what he's showing at the moment is that fighting spirit, doing all those things that we ask of every player in the team.
"It was a terrific goal at the weekend, how he read the game to press the centre-half and challenge the goalkeeper. It was a wonderful finish with his right foot."