Serie A leaders Juventus have been linked with a January coup for the 26-year-old winger, while reports also claim Premier League side Liverpool are interested in Cerci's services.
Despite the speculation surrounding Cerci's future at the club, Cairo remains adamant the Italy international will remain at the Stadio Olimpico.
"I want to make one thing clear," he told Gazzetta dello Sport. "Alessio is bound to us until 2016, not 2015.
"And I assure that until now we haven't got offers from other clubs."
The president's views come just days after Cerci admitted he would remain at the club until the summer, but insisted he would be open to a summer switch.
Cairo meanwhile, seems to believe Cerci will play a role in Torino's long-term future but concedes the club could be forced to consider offers, should they arise.
"I see Cerci with us for a long period and for me he is not for sale," he added. "Then, it will be up to him.
"Should he decide in future to take possible offers into consideration from rich and important clubs, we will surely talk.
"But for the moment, we haven't had any signals, therefore I don't take into consideration the possible sale of Cerci."