The midfielder's current deal expires in 12 months' time and the 34-year-old will reportedly agree an extension to play on at Anfield until at least 2016.
Rodgers is confident that Gerrard can continue beyond the coming campaign, especially following his decision to retire from England duty earlier this week.
"I am very happy that Steven is now going to commit to Liverpool and I am sure that (his contract) is something that we will look at," Rodgers said.
"He is in really good condition and I'm sure it is something that will happen at some point.
"Listen, for his own mind, I'm sure he will want it sorted out, absolutely. You never want to leave players with not too long to go on their contract.
"A lot has gone on at the club over the course of the summer. It is something I am sure will get sorted.
"I know he can continue to play beyond this season. I have always said that. Now he doesn’t have international football, he will have that freshness."
Meanwhile, Rodgers is waiting for developments regarding the future of goalkeeper Pepe Reina, who spent last season on loan at Napoli.
"He's back in training. Pepe made it clear last year where he is at," Rodgers added.
"He is working well and there has been no real conversation as yet. He is just working hard to get fit and we will see what happens over the next few weeks."