Topal’s agent Batur Altıparmak will hold talks with Fenerbahce this week regarding the Turkish international’s next step.
Fenerbahce are understood to be preparing a bumper five-year-deal for Topal.
The defensive midfielder nicknamed ‘spiderman’ has just a year remaining on his contract with the Istanbul giants and is yet to put pen to paper on a new deal.
Topal provided four assists and four goals in 41 appearances for Fenerbahce in all competitions this season.
Fenerbahçe finished the league season as runners up and booked a place in the Champions League play-off stages.
The Yellow Canaries will participate in European competition for the first time in two years after serving their UEFA suspension.