Klopp led his former club Borussia Dortmund to Bundesliga titles in 2011 and in 2012, when they also won the German Cup for a domestic double, and he steered them to the 2013 Champions League final where they lost to arch-rivals Bayern Munich.
The 50-year-old took take charge of Liverpool in 2015, where he has bolstered his adventurous brand of soccer with a number of key signings including Premier League top-scorer Mohamed Salah of Egypt and fellow forward Sadio Mane of Senegal.
"He (Klopp) didn't change his style too much (from Dortmund)... he has done a very good job. I believed from the beginning that he and Liverpool have a very good relationship," Matthaeus told the club's website (www.liverpoolfc.com).
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"You can see that in the good results, the good games and he has bought the right players. For me, it is a team that can win the Champions League in two months (time) in Kiev."
Liverpool are also chasing second spot in the Premier League behind champions-elect Manchester City. The Merseysiders are in third place with 63 points from 31 games, two behind arch-rivals Manchester United who have a game in hand.
"He is working very hard, his team is always ready to fight for 90 minutes and they are in good condition," Matthaeus, who played in the 5-5 draw between Bayern Munich and Liverpool Legends teams at Anfield at the weekend, added.
"He finds the right players, especially in the offence, who can make the difference on the highest level."
Liverpool kick off this weekend's Premier League action at 16th-placed Crystal Palace (1130 GMT) on Saturday.
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by Ken Ferris)
