Speculation continues to suggest that the 26-year-old is a top target for a number of Premier League sides.
Manchester United, Arsenal, Liverpool and Tottenham Hotspur have all been credited with holding an interest in the Italy international.
Representatives from those title-chasing outfits are said to have been in attendance to cast an eye over Cerci in Monday's 2-2 draw with Nigeria at Craven Cottage.
They will have left convinced that he could be a useful addition to their ranks, but no discussions regarding a winter switch have been held as yet.
"It's not true. I haven't spoken to anyone," Cerci told Tuttosport.
Torino are also keen to prevent the rumour mill from spinning out of control, with the Serie A outfit in no mood to discuss a sale.
President Urbano Cairo told TMW: "I haven't received any calls from England for Cerci, even if I read in the newspapers that there is interest from British clubs.
"As far as I am concerned, there's no truth to it. Will he stay at Torino in January? Of course."