The Reds have enjoyed a positive third season under Klopp’s management after the Merseyside outfit reached the Champions League semi-finals.
Liverpool FC were 5-1 aggregate winners against Premier League leaders in their Champions League quarter-final.
The Reds have reached the Champions League last four for the first time since 2008 under Rafael Benitez.
Liverpool FC are on course to finish in the Premier League’s top four in successive seasons for the first time since Benitez was in charge at the Anfield outfit.
Klopp’s attack of Mohamed Salah, Roberto Firmino and Sadio Mane have contributed 52 of their 75 goals in the Premier League this season.
The Reds boss used Danny Ings and Dominic Solanke for Liverpool FC’s goalless draw with Everton at Goodison Park last weekend.
Former Liverpool FC captain Thompson believes the Reds need some more experience up front ahead of the 2017-18 campaign.
“A bit of experience in the striker department would help out,” Thompson told Sky Sports.
“We’ve got Danny Ings there who has not played a great number of games and Dominic Solanke.
“Two really good players, but we need a really experienced one at the top level. If it was me, I would still be looking at another central defender.”
Liverpool FC finished in fourth place in the Premier League table last term to secure a return to the Champions League in Klopp’s first full season in charge.
The Reds signed Virgil van Dijk in a £75m deal from Southampton in the January transfer window.
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