The Italian giants are unsure if the 22-year-old will get regular game time this season.
According to Calciomercato, Kean is not in the good books of manager Max Allegri, even though he played 32 games last term.
His tardiness for meetings is causing issues between the pair, according to the source.
The 22-year-old is being linked to Atletico Madrid and Paris Saint-Germain.
Kean did have a successful loan spell at PSG in the past.