For victory over Sunderland, Gerrard could be heard above the din of the crowd, bellowing at his teammates to take the ball to the corner flag and guard it there.
"I think he's shown that leadership right the way through, from when I came in," said Rodgers. "He's first-class.
"You saw him the other night giving orders out to the team and telling people, which is important, because you don't have the time when you're in the changing room and you've conceded a goal. He's very short, sharp and concise with his information.
"But his qualities are continual every day. His leadership in the changing room is first-class. He's a wonderful captain and it's been a huge pleasure for me to work with someone who I've looked at from the outside.
"That I've had the pleasure of working with him, very closely over these past 18 months has been brilliant and long may it continue."
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