The Hammers boss has helped to guide his team away from the drop zone and their safety could be confirmed if Aston Villa fail to beat Arsenal this week - but Moyes has claimed his job still isn't complete.
Moyes - who is taking his team to Old Trafford to face Manchester United - said: "The maths tell us the job isn't done yet so we've got to prepare and ensure we're ready for the next game and take the three points if we can.
"We've not changed our approach. We've trained every day and prepared hard because we want to get better, not just for this season but for the future.
"Old Trafford is always a great experience and we want the players to go there and play well."
Meanwhile, United boss Ole Gunnar Solskjaer has refused to reveal whether David de Gea will be in goal for the game.
The Spaniard made some high-profile errors in his side's FA Cup semi-final defeat to Chelsea at the weekend.
Solskjaer said: "We have two games left and we are focusing on them. David is strong enough to know his job is to perform in training the next day and be ready for the games.
"That is your job to talk and write about it. My job is to prepare the team for West Ham. That is what we are doing. We are just focusing on that.
"We are not going to talk about individuals. No-one here wants to feel we are putting more pressure on them."