Jurgen Klopp is interested in working in Premier League, according to Sky sources.
It is also understood that the former Borussia Dortmund manager would cut short his sabbatical for the right job.
At this point, the German has had no interest or contact from Liverpool.
The 48-year-old joined Dortmund in 2008 after leaving Mainz and, following sixth and fifth placed finishes in his first two seasons in charge, led the team to successive Bundesliga titles, including their first league and cup double in 2012.
Against the backdrop of the rejuvenation of rivals Bayern Munich, Klopp led his side to the Champions League final in 2013 but lost 2-1 to Jupp Heynckes' treble-winning side as Arjen Robben scored in the final minute.
Klopp left Dortmund at the end of last season after a dramatic dip in form which saw his side sit in the relegation zone going into the winter break in Germany.
However, he did eventually lead the team to a seventh place finish and the 2015 DFB-Pokal Final where they lost 3-1 to Wolfsburg.
He has been on sabbatical since leaving Signal Iduna Park but his agent had previously said that Klopp would be interested in managing in England.