In the race for a top-four finish, the Hammers have conceded 11 goals in their last five matches as their chances of securing a Champions League spot are shattered with back-to-back defeats to Newcastle and Chelsea.
Declan Rice, who missed West Ham’s last four matches due to a knee injury, is pushing to be fit to face Burnley on Monday as Moyes relies on him for his side’s defensive record.
Mostly it is not having Declan Rice,” said the Hammers boss.
“Is he that important? I think so, yeah. He played in the game where we drew 3-3 against Arsenal so you could take that away, but he is incredibly important.
“We’ve had him back training a little bit. We’re not sure exactly what level he’s at but we’ve got a few days before the game on Monday.
“He’s made good progress, we’re happy and I would say he’s ahead of schedule. So we’ll try to keep pushing him on if we can.”
Although West Ham has dropped out of the top four after their defeat to Chelsea last week, they remain firmly in the hunt for European football in some form.
“The last game of my first season was Everton at home, we won and we finished the season well in front of the supporters,” he added.
“Last season we drew with Aston Villa, when we had stayed up and were in a good place.
“If we could get the supporters back with European football a possibility, it would be great for the supporters to be back in.
“I really want them all to be feeling ‘let’s get your injection, let’s get your passport out, because we’ve got Europe for you next year’.
“I can’t do that yet because I don’t know I’m there. But nothing would give me bigger pleasure than to tell the West Ham supporters: ‘Let’s get ready, we’re going around Europe’.”