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The 34-year-old midfielder is in the final year of his contract at Anfield, having spent his entire career with the Merseyside giants which as spanned 27 years.
Rodgers has labelled the former England skipper a "genuine superstar" for consistently producing the goods at the highest level for such a long time.
The Whiston-born player has come under fire for his performances this season, with critics suggesting Gerrard is no longer at the top of his game, after a faltering start by Rodgers' side which has seen them win just two of their opening six matches in the Premier League.
Rodgers, though, has leapt to the defence of his veteran star, insisting he is still as driven and influential as ever, and admitted that the club are looking to reward Gerrard with a contract extension in the coming months.
He told the Liverpool Echo: "It is something we are looking at as a club, and with Steven and how he feels. He is still in a real good physical condition. He's 34, he trains every day, he never needs a day's rest. He wants to work.
"This is a genuine superstar and this country hasn't produced many of them. He's been a genuine world-class player for so many years. How he still strikes a ball, there aren't many like him, both with his passing and his shooting.
"He will play and prepare himself right the way through to the very end. When that is we will see."
Rodgers added: "He is a joy to work with every single day, both as a football player and a human being. He's an incredible captain. Every football person will know the qualities and influence he still has.
"With him in our team he's been a real catalyst for everything the team has done in the last 18 months. Some of the criticism he's had shows the level he has been playing at consistently. The fact that teams deem that they need to put someone on him as a marker shows you the influence of his game.
"We've been working on areas to free up space for him. We did specific tactical sessions last week in order to free him up of that marker. That worked quite well at the weekend where he was able to arrive in areas and was able to have that influence."
