Pep Guardiola and former Blues manager Jose Mourinho have both been strongly linked to the job after Andre Villas-Boas was sacked in March.
However, Klopp’s success with the current Bundesliga leaders has seen his name go into the hat as a possible alternative should the two current favourites not take up the position.
The question is, would he want the job?
On first look, one might assume that it is an offer too good to turn down.
To sit in the hot seat of one of the largest clubs in the world, backed by Abramovich’s almost unrivaled spending power sounds like an offer Klopp couldn’t refuse.
Chelsea have won the Premier League three times since its inception and have not finished outside the top four in 10 years.
However, despite this success, the next Chelsea manager would be the ninth manager of Abramovich’s reign.
Would Klopp really want to trade his current job, where he can seem to do no wrong, for Chelsea, where he would be continuously looking over his shoulder?
Having led Borussia Dortmund to the Bundesliga title last season, they are looking on course to retain it this year.
Is the Chelsea manager's job a poisoned chalice?
Klopp has built a superbly talented young side with a great work ethic and is adored by the fans—fans that could give Borussia Dortmund a record average attendance of over 80,000 this season.
It is Klopp’s success that has put him on Chelsea’s radar.
However, I would suggest that he should enjoy his achievements at Dortmund and continue to build upon this winning team he has created in his image.
The rewards, whilst not as large as those offered by Abramovich, are huge, and he has the chance to create something special and stamp his name on Borussia Dortmund history forever.
Or, he could take the Chelsea job if offered it and risk being a minor footnote in a list of managers given less a year in charge, like some of his predecessors.
Glory with Dortmund or a big wage at Chelsea followed by the inevitable sack?
I know which I’d rather have.