Newcastle must beat West Ham if they are to ensure that they stay in the Premier League, and Carver is already starting to piece together his starting line-up for the fixture.
The 50-year-old boss has been assessing his players' mentality in training and insists that anyone incapable of handling the pressure will not play.
"There’s a lot of things to think about in terms of the team,” said Carver.
“But it’s going to be important to pick the kind of characters that can handle the game.
“Being able to handle the situation is going to be absolutely crucial.
“It’s going to be so important that the players can deal with whatever is thrown at them.”
Newcastle have not won any of their last 10 games and the confidence in their squad has, understandably, appeared very low.
The Magpies will have to improve if they are to get the three points that they need against West Ham, and it will be crucial that Carver gets his team selection right.
Too often under Carver's stewardship, Newcastle's squad have looked disorganised and under-motivated and they cannot afford to put in another below-par performance against West Ham.
If they fail to win against the Hammers and Hull City beat Manchester United, then Newcastle will be relegated - so the stakes could hardly be higher ahead of Sunday's contest at St James’ Park.