The Italy international has made just 16 Premier League starts since arriving at the Stadium of Light but his manager says it is too early to talk about whether he will stay
Giaccherini arrived at the Stadium of Light on a four-year deal from Italian champions Juventus in the summer but has endured an indifferent debut campaign, making just 16 Premier League starts.
With Sunderland's top-flight status hanging by a thread, reports have suggested Giaccherini could cut short his stay on Wearside at the end of this season, with Serie A duo Fiorentina and Genoa reportedly ready to offer the 28-year-old an escape route.
|4/1||Sunderland are 4/1 with Bet365 to stay up this season|
However, Poyet believes it is soon to discuss the Italy international's future, especially with the season yet to reach a conclusion.
"It's too soon to be talking about that [Giaccherini's future] because nobody knows really," he told The Hartlepool Mail.
"I'm surprised they're talking about it so early, because the season isn't finished."
Giaccherini has become increasingly isolated from Sunderland's first-team plans, making just one Premier League start since New Year's Day, and was not even among the substitutes in the club's last two top-flight fixtures, which resulted in defeats to West Ham and Tottenham.
Explaining Giaccherini's omission, Poyet added: "When I planned the team [for West Ham and Spurs] I changed the bench a little bit.
"Normally, I would always put on a couple of strikers, couple of midfielders, a full-back and a centre-back - depending on the shape.
"But I think it's time to take a risk. We're trying to make the bench in a certain way and sometimes we have three strikers on there."