The Italy U21 international enjoyed a standout campaign in Serie 'B' last season, helping his current club win promotion back to the Italian top-flight.
Jorginho's impressive performances attracted admiring glances from a number of different clubs, with Reds boss Brendan Rodgers reportedly keen on bringing the player to Anfield this summer.
As Liverpool look to build a squad capable of challenging for Champions League qualification in 2013/14, Jorginho's creative influence would be a welcome addition to the Merseyside club, who remain at risk of losing one of their best players in Luis Suarez.
The Uruguayan striker has been the subject of intense transfer speculation all summer, with constant reports he is set to leave Liverpool before the close of the transfer window on September 1.
And, after missing out on the signature of former Shakhtar Donetsk star Henrikh Mkhitaryan - who opted to join Borussia Dortmund over Liverpool - Rodgers will be determined not to lose the race for another attacking midfield target.
Fiorentina are expected to step up their bid to bring Jorginho to Stadio Artemio Franchi in the coming weeks, but don't expect Liverpool to give up without a fight.