The two teams are on opposite ends of the table, with West Ham fighting for a top-four spot and Newcastle attempting to stave off relegation.
Speaking ahead of their clash this weekend, Noble said: "Listen, it's going to be a tough game.
"They're fighting for their lives and we're obviously fighting for a different sort of achievement.
"Newcastle are a good side, they're well organised and they've got some good players, so it'll be another tough assignment.
"They all are, to be fair."