Rangers head into the weekend bottom of the Barclays Premier League table and seven points adrift of Aston Villa in 17th position with just eight matches remaining.
QPR boss Harry Redknapp remains confident his men can claw themselves to safety, particularly in the wake of their recent victories over Southampton and Sunderland.
And while Jenas would settle for a point at Craven Cottage, he made no bones about Rangers' need for victories.
"If we're totally honest, we need to win on Monday night," Jenas said.
"A draw won't be a bad result because it keeps us moving forward and gets that momentum back up, but make no mistake, we need to be winning games. There are teams that can easily get sucked into it."
Jenas has made a big impression since his January move to Loftus Road from Nottingham Forest, scoring twice in two appearances and Redknapp views his experience as key.
"He knows the situations I've been in throughout my career and knows I can handle these types of battles. I've played in a lot of pressurised games throughout my career," Jenas told qpr.co.uk.
"I'd like to think that's why Harry bought me here - to play games, score goals and help the team out.
"The position we're in is tough, but the mood in the camp is positive. We're scoring goals, creating chances and there's a style about our play now that wasn't there a few weeks or months ago."