The Black Cats are only outside the relegation zone on goal difference after failing to win any of their last nine matches.
Sunderland players are still getting used to the controversial appointment of Paolo Di Canio in place of the sacked Martin O'Neill as they prepare to face local rivals Newcastle in a crucial derby on Sunday.
The trip to St James' Park is followed by the visit of Everton to the Stadium of Light on 20 April but Belgium international Mignolet is keen for them not to lose focus by looking too far ahead in the campaign.
"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," he said.
"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.
"Points are far more important, and therefore we have to focus ourselves on that and nothing else."
Mignolet is philosophical about the change of manager and remains hopeful they can build on positive spells they have enjoyed within games.
"In my short career, I know what it is when a manager leaves and when a new manager comes in," he added.
"There's always one factor that is always the same, and it's when there are not enough points and when the results go against you, and unfortunately, that happened for Martin O'Neill.
"As a team when you don't get the results, there's always something to change and you always need something to happen to get a turn-around.
"The club has tried to do that with appointing a new manager.
"We had a great first half against Chelsea, we also had a decent second half against Manchester United - let's hope we can combine those two halves now into one game against Newcastle."