Xabi Alonso has a clause in his Bayer Leverkusen contract which would allow him to become manager of any of his former clubs - Liverpool, Real Madrid or Bayern Munich - as early as next summer.
I honestly hope Pep Lijnders takes over for Klopp when Klopp leaves. He’s earned it and would be the perfect person to carry on the good work Klopp started and maintain the continuity and clarity in purpose, team building, and man management already in place, but he’d also bring a fresh energy and some new ideas.
I really do think that management transition at Liverpool could parallel that if the switch from Bill Shankly to Bob Paisley, if not in exact trophy count but at least in sustained success season over season.
But if not Pep Lijnders, then Xabi Alonso is my very next preferred choice to take over after Klopp.