Messi's future has been surrounded by speculation since asking to leave Barca but Klopp says there is "no chance" he will join the English champions.
Asked if he was interested in signing the 33-year-old, Klopp said: "Who doesn't want Messi in their team?
"The numbers are not for us, but a good player, to be honest."
Messi has been linked with a reunion with former Barca boss Pep Guardiola at Manchester City - something Klopp says will "obviously" help his rivals and make them "ha