Joel Matip and Thiago Alcantara will leave Liverpool when their contracts expire at the end of the season.
Liverpool announced their imminent departures on Friday, two days before the team's final Premier League game.
The 32-year-old Matip, a ball-playing centre back, arrived at Anfield on a free transfer from Schalke in the offseason of 2016 as one of Klopp's first signings.