The 21-year-old, who is currently at the World Cup in Brazil with Belgium, is expected to be offloaded by the Blues due to the impending arrival of Diego Costa from Atletico Madrid.
Various clubs have been touted as possible destinations for the forward, including Roma, Atletico and Wolfsburg.
Lukaku spent last season on loan at Everton, who have declared their interest in keeping the striker.
Despite Juventus being added to the list of potential suitors, the Belgian has insisted that he will not consider his future until the tournament ends in Brazil.
"I'm proud of Juventus's interest in me, but I'm just thinking of Belgium for now," Lukaku told Sky Sport Italia.
Belgium will open their Group H campaign with a clash against Algeria today.