The Liverpool forward is currently on loan at the Stadium of Light but Black Cats boss Poyet says the Italian would be the "perfect player" for his side should they avoid relegation from the Premier League.
And the Uruguayan's comments could be welcome news for Borini, who has so far enjoyed his time on Wearside.
"Borini is an important player, and he will be important to us if we stay in the Premier League, and are able to keep him," Poyet told The Shields Gazette.
"He's the perfect character to have in a group of players these days - he's the perfect professional, always positive."
Sunderland are currently 18th in the table, three points off safety but with two games in hand over their nearest rivals Crystal Palace.
Should the Black Cats stay up, then, could it make sense for 22-year-old Borini to stay at the Stadium of Light?
On the one hand, the Italian would be missing out on the chance to play in the Champions League, with Liverpool likely to need a sizeable squad were they to go for glory on four fronts.
But Borini would not be guaranteed first-team football at Anfield, especially with the Reds being linked to moves for a new striker this summer.
The final decision is likely to lie with both clubs, however, with Borini ultimately still being a Liverpool player.
If both Sunderland and the Italian wanted to push a permanent deal through in the summer - providing they stay up - what will the Reds do?
Should Liverpool keep Borini or sell him to Sunderland for good?