In his new book 'My Liverpool Story' Gerrard speaks of his belief that, even at 32, he can get better under Rodgers.
Asked about that statement in an interview with Football Focus, the skipper said: "Yes, I do, because he's got a different philosophy and way of playing to other managers I've worked for.
"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."