Rodgers wants to see more goals from the former Sunderland man to ensure there is a significant contribution from midfield with Steven Gerrard further back.
He said: "I still think Jordan has bits to improve, he needs to get more goals.
"He understands that, we speak about that, there is no pressure on him, as he makes contributions in other areas.
"The areas that we want to improve his game is to get more goals, we need more from that area of the field.
"Steven Gerrard has done it consistently in his career but he's in a different part of his career now and one that will see him in that role further back so that means that others have to contribute.
"I think it is a great credit to Jordan in how he has taken on the role.
"His composure and his quality is great to see and I think there is a lot of individual improvement to come."
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