Brewster has scored back-to-back hat-tricks in the quarter and semi-finals of the Under-17 World Cup.
His fine form for his country has led to talk that he could be Liverpool’s equivalent of Manchester United star Marcus Rashford.
But Klopp insists that, though the youngster has a bright future ahead of him, he is not ready to make his mark on a regular basis for the first team just yet.
“I don’t like to make things like this too big. We had Rhian around last season before he got an injury,” he said.
“Rhian is very similar as a person to Ben Woodburn. He never thinks about what team he’s playing for. Ready to make difficult steps.
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“These boys are the future and we need to build the present.”
Meanwhile, Brewster’s old coach Dan Seymour says he has never seen a player like him before.
And he also revealed how the Liverpool striker ended up signing for Chelsea as a youngster.
“It wasn’t long after I opened Shield that one of the players asked if he could bring a close family friend to the academy, and that was Rhian,” Seymour told BBC Sport.
“He was scouted in the first two minutes of his first game after rounding the entire opposition, scoring and then grabbing the ball and putting it back on the spot.
“In the time it took that to happen, Martin Taylor, the academy scout at Chelsea, approached his dad and me, and said he wanted him immediately.”