Poyet replaced Paolo Di Canio as head coach in October when Sunderland were bottom of the table with only one point from their first five top-flight games.
The Uruguayan stated after a 5-1 hammering at Tottenham last month that it would take a "miracle" for the Wearside club to avoid relegation, but they are safe with a game to spare after beating West Brom 2-0 on Wednesday.
"He (Poyet) has had a great impact," Borini told Sky Sports News. "He changed our style of play, and we built up confidence by playing the way he wants us to play.
"That made all the difference, especially at the end of the season when probably everyone thought we were dead.
"We showed that with good football, solid and compact we can achieve good results."
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