Rodgers says Gerrard's teammates need to take the pressure of his shoulders.
Rodgers told reporters: "Steven was outstanding last night [against Tottenham]. He's carried this club for nearly 13 years and it's about time that there was more than Steven picking up the baton of responsibility.
"He's been brilliant since I arrived here. His inspiration and leadership within the team has been phenomenal.
"He might not have got the goals that he wanted this season, but you saw him last night - his range of passing, commitment and drive into the box was superb.
"He has been judged on his goals because he's been a goalscoring midfielder over the years, but he's still offering this group so much on and off the field.
"There are others that we want to step up to the plate and get the goals. Across the board we want to improve and find the solutions."