The Black Cats face an Everton side who have won just one of their last nine league games, and coming off the back of a woeful performance in the 3-1 defeat to Leicester City last Saturday.
Newcastle need Everton to pick up at least a point to take the relegation battle to the last game of the season, and Martinez assured the Magpies that his side will not roll over on Wearside.
“It’s a huge, huge game, not just for what Sunderland are playing for,” Martinez told the Telegraph.
“From our point of view we want a reaction to Leicester. It’s no such thing as winning players back, two weeks ago we had a really good, determined performance against Bournemouth.
“We always want to get something from every game but now our focus goes to Wednesday and we need to match the intensity.
“Sunderland have a good home record in their last six games so we know what we will face and have to be at our very best.”
Sunderland find themselves in a position to secure their safety on Wednesday after securing a superb 3-2 victory against former champions Chelsea last weekend.
Sam Allardyce’s men will be confident they can beat Everton, and on current form you would have to make them favourites to pick up all three points.
Newcastle boss Rafa Benitez has plenty of history with the Merseyside club following his spell as Liverpool boss, and he will be desperate for them to do his current side a huge favour.