Cape Town - Sitting three points above third bottom Hull, Sunderland need one more point to be certain of staying up, but a defeat on Wednesday against Arsenal would leave them still in danger of the drop given their inferior goal difference to the Tigers.
Sunderland boss Dick Advocaat has collected 11 points from his seven games since replacing sacked predecessor Gus Poyet on a short-term contract in March.
And although a goalless draw against Leicester on Saturday revealed a few signs of nerves in Advocaat's squad as the denouement to the relegation battle approaches, the Dutchman is convinced they will survive.
"We will stay in (the Premier League), I have no doubt about that," Advocaat said.
Black Cats striker Connor Wickham is determined not to prolong the agony until the weekend and has set his sights on taking the decisive step to safety against Arsenal.
"They are two tough games away from homes, but they are opportunities for us. We need one point, we all know that," he said.
"We know what we have got to do now and it's something we are capable of. There are two opportunities to clinch it and hopefully we can do that on Wednesday."