The news comes following a report in the Daily Mail which suggests that Chelsea are on the lookout for a new right-back in January following a sharp dip in the Serbian international’s form.
The Mirror state that Fenerbahce are interested in signing Ivanovic and are preparing to open talks with the 31-year-old in January.
Ivanovic was dropped by Jose Mourinho for his sides win over Maccabi Tel-Aviv in the UEFA Champions League this week.
The Yellow Canaries already have Gokhan Gonul and Şener Özbayraklı at right-back therefore may opt to use Ivanovic at centre-back if he joins next summer.
Fenerbahce take on Bursaspor this weekend at the Şükrü Saracoğlu stadium.