The Morocco international is currently with Napoli.
Hamza Erresmy is quoted as telling Tutto Mercato Web Torino that he is keen on a move abroad this summer, and that Marseille is the destination he has in mind:
"El Kaddouri wants to have an experience abroad and hopes to go to Marseille. In Turin he was fine but he wants a new challenge."
The 24-year-old spent this season on loan at Torino from Napoli, where he played in 43 games all season.
Torino have an option to buy him for €4.7 million, but the report stated his agent Mino Raiola was seeking alternative options.
It was reported in France last month that Olympique Marseille were ready to make a first move for the Moroccan international, who also spent the 2013-14 season on loan at Torino and has only ever played seven Serie A games for his parent club.
The report from Sports.fr claimed that Marseille were ready to splash out around €10 million for the player, as they look to revamp their squad ahead of a Ligue 1 title surge next term.