The Reds boss has been linked with the Germany job.
So, amid their Premier League crisis and reports tipping him to go, here are four potential replacements.
If Klopp leaves, the former England skipper would certainly be front of the queue to take over.
Gerrard has earned that right now, with his Rangers side still yet to lose in the Scottish top flight this season.
Julian Nagelsmann has worked wonders at RB Leipzig.
Tottenham are big admirers of the young German but Liverpool would likely be a far more attractive job.
Nagelsmann is committed to Leipzig but the chance to replace Klopp, and take over his squad of star-studded stars, could be too good to turn down.
If Liverpool are forced into parting ways with Klopp then Diego Simeone may be the ideal replacement.
He would make them less entertaining, sure.
But he’s a serial winner, one who has steered Atletico Madrid to the brink of the La Liga crown.
The Italian won every trophy barring the Champions League at Juventus, helping them become the European giants they are today.
Therefore, it’s pretty bizarre he hasn’t been hired since walking away from the Allianz Stadium nearly two years ago.
If Liverpool got Allegri, they’d have a serial winner at the helm. And that, certainly, would be no bad thing.
This article was most recently revised and updated 2 years ago