The 36 year-old impressed for victory at Newcastle on Saturday.
Klopp said, "He's a role model; I told him and can I tell the world nothing what we achieved in the last few years would have happened over the last few years without James Milner. Easy as that, whether he was on the pitch or not.
"It's because he set the standards in a way not a lot of people can set standards. He has educated all of us."
On whether there is any news on Milner's future, Klopp added: "Nothing, Millie decides that.
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