The 26-year-old is on impressive form in Serie A with nine goals to his name for an unexceptional Torino team.
The player has stressed that he intends to stay with Torino in the short term but a summer switch looks increasingly likely.
"It's 100 percent that I'll stay in January," Cerci said after Torino v Fiorentina. "This club has given me so much.
"But in June, I confess, I don't know. We will see but I know that in the future I could leave."
Cerci's contract expires in 2015 and La Gazzetta claims that Juventus director Beppe Marotta is already closing in on agreeing a deal.
Rather than paying the £15m that is the widespread valuation for Cerci, the paper suggests that Juventus will offer a part-exchange agreement.
However, it could still be possible for either Manchester United or Arsenal to pull off a swoop if they are willing to produce a large financial offer.
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