The Hammers are currently second from bottom of the Premier League table and face away games against Chelsea and Manchester City.
“We’ve got five games to go and two tough games coming up, but we probably just need to win three of those games and hopefully we’ll be OK,” Noble told the club’s official website.
“It’s going to be tough but I’m pretty sure we’re going to fight until the end.
“In this league everyone is beating everyone, but if we could win all five games that would be nice. We have got to win our home games and the we’ve got Wigan away which is a tough game to go there and win, but if we can do that, fingers crossed we’ll be OK.”