This information is according to reports from the Belgian print media cited by The Metro, which further claim that Reds boss Brendan Rodgers has formally approached former mentor Jose Mourinho to begin discussions over a deal.
Having followed older brother Eden to Chelsea during the summer of 2012, Hazard the younger has yet to make a full senior appearance for the club.
Instead, Chelsea allowed him to depart on loan almost immediately after arriving at Stamford Bridge.
Moving back to his native Belgium with Zulte Waregem, 21-year-old Hazard has spent two seasons at Regenboogstadion where he has has impressed with a number of exciting attacking displays for Francky Dury's title contenders.
As with fellow countryman Romelu Lukaku, Hazard's stellar form during his time away from Chelsea appears to leave Mourinho with a crucial decision to make over his immediate future.
Hazard is presumably keen to follow in his brother's footsteps make an impact in one of European football's top leagues.
Whether this means he will be content with a loan move to such a reputable division remains unclear, but that could presumably be a very realistic option with the likes of Everton believed to be interested following Gerard Deulofeu's admission that he would like to return to parent club Barcelona after a successful stint at Goodison Park.
Whether Liverpool intend to simply loan him or buy him outright is not made explicitly clear, although a valuation of £6 million is given so that would appear to hint at the latter.
And although Chelsea did of course allow Victor Moses to move to Anfield on a temporary basis last season, it seems incredibly unlikely they would be content with a similar arrangement for Hazard given that the Blues finished two points behind Liverpool in the 2013/14 title race.