Reports have suggested that the Italy international, who can also operate in a more central attacking role, has attracted the attention of both Manchester United and Liverpool.
In 19 appearances this season, the 26-year-old has found the net nine times, which has led to speculation over his long-term future.
After Torino's 0-0 draw against Fiorentina in Serie A at the weekend, the in-form Cerci spoke about his desire to stay at the club until the end of the season.
He told Sky Italia: "In January I will 100% stay, I'm concentrating on this jersey and supporters."
But he admitted that the situation could change in the summer, adding: "In June it will be different.
"Should there be an offer we (myself and my agent) will evaluate it. I don't promise never-ending love to a club.
"In the future, I could leave."