The Black Cats dropped into the relegation on Saturday night after Charlie Adam???s fine strike for Stoke cancelled out Connor Wickham???s early opener.
But wins for Leicester City and Hull mean that Advocaat???s side find themselves in 18th with just five games to go.
???I still think we need six points (to stay up),??? he said. ???So we still have to win two games.
???In our last game, Crystal Palace played excellently to beat us 4-1, but they???ve since lost to West Brom and Leicester. It???s a little bit strange.???
Despite it not being the win they so badly needed at the Britannia Stadium, Advocaat admitted he was still happy with the draw – although he did lament Jermain Defoe’s missed chance that could have doubled Sunderland???s lead just moments before Adam???s equaliser.
“I can live with a point despite the fact we had good chances in the second half,??? he added.
“But you need to have a bit of luck, just like they had when we were ahead and we had a chance with Defoe, and they had a little bit of luck there.
“The first half Stoke were much better and fortunately it only stayed 1-1. In the second half, we did much better. We created some good chances but failed to score. But in the end I can live with 1-1.”