Buckley, who joined Sunderland from Brighton and Hove Albion, for an undisclosed fee said to be £2.5 million by the Chronicle, has not won over the entirety of the side's supporters, but Poyet can see his value to the squad.
The Uruguayan boss feels that the rapid winger is the only player in his side who can get in behind defences and he wants to see more players follow the 25-year-old's example.
“I think Buckley is the only player in the squad who can go in behind, like he proved in the last minute [against Liverpool at the weekend] and when he was offside," Poyet said.
“The rest are not willing or don’t have the characteristics to go in behind defenders, which is part of the game that you need to use."
Buckley has made 21 appearances for Sunderland so far, but his lack of end product has frustrated the fan-base.
Like many of the North East outfit's squad, he is struggling for goals - having failed to hit the back of the net - and unless things improve in this respect the pressure will continue to grow on him.
Poyet, however, still clearly has faith that Buckley will come good in the future and his role as an impact substitute could become even more important in the second half of the season.