The 32-year-old, who has scored in the Reds' last two games in the league against Manchester United and Norwich, believes Rodgers' different footballing philosophy will see him have to adapt his performances for the team.
"Yes, I do, because he's got a different philosophy and way of playing to other managers I've worked for,” Gerrard told BBCprogramme 'Football Focus'.
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"There are certainly things I can still improve on by working with him. I'm enjoying working with him on a daily basis, and I think my form recently has been really good.
"I'm enjoying my football, and I'm really looking forward to the next two years I'm contracted for and hopefully more, to add some chapters to a career I'm really proud of."
The England skipper believes that Liverpool will gain momentum following their 5-2 win at Carrow Road last week and wants to continue their forward momentum against Stoke City on Sunday.
He explained: "We're six games in, we should have a few more points than we've got, but I believe now the win against Norwich will be the catalyst to push us on.
"They are good opportunities but they're also tough games as well.
"If I'm realistic, they are games we should be winning, certainly at home."
If selected to face Stoke, Gerrard will make his 595th appearance for his beloved club and he admits he never thought he would one day approach 600 games.
"No, not at all, the dream for me was always just to play once, to be able to say I'd played for the team I supported as a young boy," he said.
"To be closing in on 600 games for Liverpool and nearly 100 caps - if someone had said I'd be there at 32 I'd have bitten their hand off."