As part of Joachim Low's coaching team, former Bayern and Germany striker Klose is working closely with Werner and is convinced his rise will continue.
"Werner is young, he can eventually become world class because he has this momentum, "Klose told Kicker.
"The combinations, the angles, how he positions himself. There is something missing with him - he is not as natural as Robert Lewandowski."
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As a goalscoring hero for Germany, Klose sees the value that a player like Werner brings to the team in their hunt for a consecutive world crown.
"I've always been a real striker," Klose said. "You need a forward in there, whether it's a fast one like Timo Werner, or a big one like Mario Gomez, because you know you have a lot on the wings, and you need one who knocks the ball in."
Germany are drawn in Group F alongside Mexico, Sweden and South Korea, and begin their campaign against El Tri on June 17.