James Tomkins insists West Ham cannot relax, despite moving out of the relegation zone over the weekend.
The Hammers claimed a 2-0 triumph over Aston Villa, which boosted their survival hopes.
But Tomkins admits that they are not thinking they are safe just yet.
"It is certainly not the time to sit back," he told the Newham Recorder.
"We need to carry on from the win against West Ham because we all know if you lose a couple of games, you are dragged right into the trouble again.
"We are hoping to keep this run going and Norwich is a winnable game, no disrespect to them, but it is a game we can win.
"The lads are so confident at the minute. We won our last home game and don't forget about the Chelsea game which was massive as well, and then beating Villa, so we are confident going into Tuesday, but we will need our whole squad because there are likely to be some tired legs after the Villa match."
Their win over Villa was West Ham's first back to back win in the Premier League since they returned to the top-flight.
"The manager always made a point of telling us when we had won a game about the importance of back to back wins, but this time he kept it a bit more low key, so perhaps that was the difference," he said.
"It is something to be proud of from Saturday, but it is just a case of trying to keep it going now. That is two, but can we make it three?"