The captain's contract expires at the end of the 2013-14 season and he turns 33 in May. Before the campaign ends, however, Rodgers hopes for confirmation that Gerrard is to remain at Anfield.
"As yet I don't believe anything has been done [about a new contract]," the manager said. "Steven and I have spoken a number of times. His feeling the last time we spoke was to get through this season and see how that goes. His focus is on really helping the group to go forward.
"There's no doubt that between now and the end of this season the contract will be looked at. With each day that goes on you see the real importance he still has to the club. At 32 years of age, he still looks so fit, strong and you can see his influence on the team."
Rodgers is keen that his admiration is mirrored by Liverpool's American owners. "I would hope so. They watch all the games from afar. They understand and I have regular dialogue with them," said the manager.
"I can only feed back in terms of his qualities both as a player and as a leader of the club. As a captain he's been phenomenal. It's not like they don't get to know about it. Between now and the end of the season we will have a clear look at that, for sure.
"Steven Gerrard is a unique player. When he came on at Oldham [on Sunday] it was like someone had dropped him from heaven into the game. We went to a totally different level when he came on.
"Unfortunately at this stage I can't say that without Steven Gerrard we would be alright because I don't believe we would.
"This is a top, top player who gives so much quality but also enthusiasm."
Liverpool are still awaiting news from the Home Office over whether a work permit for the Brazilian Philippe Coutinho will be granted. Talks took place on London on Tuesday afternoon, after Coutinho passed a medical at Anfield, with a statement now expected on Wednesday.
Another Liverpool midfield player, Joe Allen, has conceded his own form has given him cause for concern as he prepares to face Arsenal on Wednesday evening. The 22-year-old showed initial promise when moving from Swansea to Liverpool in the summer, but has endured a more troubled time recently.
"In recent times I think it goes without saying it [my form] has been slightly disappointing, to be honest, but I am faithful and confident that I will turn things around on a personal level," Allen told Liverpool's website. "It's games like Wednesday where, if I can be involved in some way, I can get my performance levels higher.
"The games against Arsenal and Manchester City earlier in the season are probably the level I am hoping to reach again and be more consistent with. There is no magic formula. I'll keep working hard and keep faithful there will be another performance like that just around the corner."
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