Klopp has lifted the Reds in the four year since his appointment, turning them into one of the best teams in the Premier League while also steering them to Champions League glory.
ESPN says the Liverpool board liked the German's personality and that his lack of ego made him a firm favourite right from the start.
Klopp rarely wants the spotlight, instead preferring his players to grab most of the headlines.
The report says the Reds hierarchy also liked his willingness to work under the 'collaborative approach the club had put in place in 2012'.
It is said Rodgers would reject the influence of Michael Edwards and other key figures.