At a time when the Blues are attempting to agree fresh terms with a number of their current centre-backs, they have also been heavily linked with Szalai.
Speculation persists that a number of clubs are in the running for the 23-year-old, who has impressed for the Turkish giants this season.
However, according to Rossi, Szalai's transfer to Stamford Bridge during the January window is "a done deal".
Speaking to Calciomercato, Rossi said: "It's hard to name just one player, but right now I see very well Attila Szalai, who plays for Fenerbahce, but I think he is joining Chelsea.
"Clearly, he has been followed by important clubs in Spain, but apparently his move to Chelsea is a done deal. He would be a great player also for Italian football."
Szalai has made a total of 20 appearances in Super Lig and the Europa League this campaign. body check tags ::