The Spaniard has been given a more attacking left-wing role since the start of the season, grabbing a goal against Wigan and has revealed that Rodgers has told him to get forward more and chip in with his fair share.
"The manager has told Raheem [Sterling] and myself over the last few weeks that we have to help out in the box and score goals," Enrique told the club's official website.
"Every team needs to [get bodies in the penalty area]. If you put crosses in, you need people in the box. Otherwise no-one will be there to finish the chance. So I try to arrive as much as I can.
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"You don't have to score an amazing goal all the time. So I think it's really important to try and be in those positions and get goals from there.
"If I continue to play in the left-wing position then I am definitely going to try and get more goals because in that position you have to.
"I like playing on the wing because I really like to go and attack, like everyone does. Most people prefer to attack than defend. That's just normal."