The Reds go to Norwich City today top of the table.
Gerrard told the Sunday Telegraph: "He's a phenomenal man for his age (41). I think he's going to grow into one of the world's best managers and I hope he is here long after I am gone.
"I hope he is here for many, many years because this club is in great hands. Whatever happens now until the end of the season, it's safe.
"He's a winner, he's hungry for success, he does the right things, he treats players well, he doesn't try and control the football club, or get involved in stuff that has nothing to do with him.
"He just focuses on getting on the training pitch and coaching the team, improving individuals, improving the team and playing football the right way. That's what the supporters want here."
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