The Black Cats take on the Merseyside club at the Stadium of Light tomorrow night, before they head to Watford for their season finale, and Borini has talked up the importance of beating the Toffees in what is sure to be a tense clash.
"We're going to try and do it over 90 minutes because it's better to do it obviously and not bring it to the end, the last breath," he said.
Allardyce's men have struggled all season to keep clean sheets, but have greatly improved over the past few weeks, managing three shut-outs in their last six outings.
Even when they have conceded of late, they have found a way to win, like they did against Chelsea at the weekend, chalking up an impressive 3-2 victory. However, Borini feels as though they will have to work even harder in order to claim all three points against Everton.
"We need to work probably harder than what we did on Saturday, the same desire of winning the game and that will hopefully give us the result," he said.
The former Liverpool and Chelsea striker also found time to praise the support of their fans, and implied that they helped them achieve last week's momentous victory against Guus Hiddink's men.
"Like Saturday, I think the first to believe we could do it was the fans, and they transmitted that to us with the singing and the cheering, and that's unbelievable at this stage of the season," he said.
It will certainly not be easy tomorrow night for the Wearsiders, with Everton manager Roberto Martinez desperate for a victory after finding himself the target for heavy criticism following what many believe has been an underwhelming campaign for the Toffees.