The report states that Fenerbahce are looking to add another striker to their squad following the departure of Pierre Webo. Moussa Sow and Emanuel Emenike are also expected to leave the Istanbul giants this summer.
Fenerbahce are understood to be preparing a bid for the Argentina international who has a year remaining on his contract with Juventus.
Tevez has been heavily linked with a move back to his former club Boca Juniors. The 31-year-old provided ten assists and scored 29 goals in 48 appearances for Juventus this season.
The former Manchester City player, who has won three Premier League titles and two Serie A titles, scored 38 goals in 110 games during his first spell at Boca. Tevez won the league in 2003 and was voted South American Player of the Year for three straight seasons while playing for the Xeneizes.
Fenerbahçe finished the Süper Lig as runners up and booked a place in next seasons Champions League competition.