Steven Gerrard is out of contract in the summer.
Reports this morning suggested that Gerrard's new deal will involve a pay cut, but his representatives have reportedly stated that any decrease in his wages should mean he should get a two-year deal at Anfield. His current deal runs out in the summer.
Rodgers told his pre-match press conference ahead of their trip to Leicester City: "Firstly in terms of the club the latest is that Steven Gerrard and his representatives have been offered a contract here and at this moment in time thats where it's at.
"For Steven, everything hes done in the period of time hes been here, for 16 years, is a man who deserves utmost respect and time to consider that. It's not just a big move in his life in terms of commitment but needs time and respect to look at that.
"It certainly won't be money. I've spoken to him enough times at length and that won't be the case. Between now and the end of the season he deserves the opportunity to think."
Rodgers, like Gerrard, has also '150%' denied reports of a rift between the pair, something which the Liverpool skipper described as 'nonsense'.
The Liverpool boss also gave an injury update ahead of the trip to the King Power Stadium, with Mario Balotelli still sidelined with a groin injury, but Rodgers has confirmed that defender Mamadou Sakho has returned to training after a thigh problem.
Gerrard himself could return to the Liverpool line-up for the game against Leicester as the Reds go in search of back-to-back wins. In the past couple of games, Rodgers has taken a more back to basics strategy, meaning many of his new signings have been left out of the starting XI, but his faith in them appears to remain.
He said: "It takes time. There's a lot of players that have come in and it takes time to adjust. They're good players deemed to help the club over coming years - and now - but the group is very much together."