Gerrard has excelled in a deeper role for Liverpool, who remain in contention for the Premier League title with just two games remaining in their season.
Rodgers is eager to resolve the midfielder's contract situation quickly as the captain prepares to enter the final year of his current deal.
"Steven will be one we look to get a contract to in the summer," Rodgers told the Liverpool Echo.
"I believe Steven will play beyond 2015. He is a player who has really shown his qualities this season.
"Come the summer, he will still only be 34. Looking towards the future, I still think he's going to be a key part of our squad."
Gerrard will reportedly be offered a 12-month extension.