The Brazil international completed a £39m move to Liverpool FC from AS Monaco on Monday evening to their summer spending underway.
Fabinho will improve Klopp’s options in midfield for the 2018-19 Premier League campaign amid continued uncertainty surrounding Emre Can’s future.
The 24-year-old won the Ligue 1 title with AS Monaco ahead of Paris Saint-Germain in 2016-17 season and reach the Champions League semi-finals.
Fabinho was linked with a move to Manchester United over the past two seasons but the Red Devils failed to complete a deal for the South American midfielder.
Speaking to Liverpool FC’s website about the chance to work under Klopp, Fabinho said:
“The manager has said that he wants to work with great players.
“I’m still young, so I have a lot to learn in football and with Klopp I will have the chance to carry on growing and to keep learning.
“Also, he plays a different type of game compared with what I was playing at Monaco.
“I don’t know very much about his past work but I had the opportunity to speak with some players who have worked with him in the past and they told me that he’s a very good manager, so I hope that I will meet him soon and be under his instructions.
“I will work very hard with him and I’m sure I will improve a lot under his leadership.”
Liverpool FC finished in fourth place in the Premier League table to secure a Champions League spot in successive seasons.
The Reds suffered a 3-1 loss to Real Madrid in the Champions League final in Kiev last weekend after goals from Karim Benzema and Gareth Bale.
The Merseyside outfit are still waiting to get their hands on some silverware for the first time under the former Borussia Dortmund head coach.
Liverpool FC are looking to win the English top flight crown for the first time since 1990.
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