The Black Cats are currently 17th, with just goal difference separating them from Wigan Athletic in 18th position.
However, Mignolet believes that it is important not to look ahead too far and claims that Sunderland should be focused on the Tyne-Wear derby against Newcastle United on Sunday.
The Belgian goalkeeper said: "We can't think about what's going to happen in the Everton game or the game after that, or what's going to happen at the end of the season.
"Now we have to focus and get ourselves ready for the game against Newcastle because there are three points to win, three points to lose.
"I know it's a derby game and there is much more at stake than only the three points, but as football players, you can't think of that because that's not important at this moment."