A 2-1 defeat at struggling Aston Villa on Sunday ensured it is three months since West Ham last picked up three points away from home and Sam Allardyce's side have won only two of their last 11 Premier League games.
That run has seen the Hammers slip to 11th in the table and just seven points outside the bottom three, sparking fears the club could be dragged into the relegation battle.
However, with the squad heading to Dubai for a short training break, Nolan believes West Ham are capable of gaining enough points in the coming weeks to stay in the top flight.
"We've got to keep believing and keep putting in performances like that," Nolan told the club's official website. "If we cut out the errors we'll be fine.
"If we keep producing the form we're showing, and what I mean by that is that the performance on Sunday was good, and keep producing the amount of chances we're making, I'm sure it's going to turn for us.
"We've got two weeks between matches and when you lose a game you want to get back out there as soon as possible. But it does give us the chance to relax a bit this week and look at what we've done this season and what we've got to do between now and the end of the season.
"By the time the Tottenham game comes around we'll be ready and raring to go for a home local derby. We'll be looking forward to it."