Tottenham moved into pole position for Champions League berth after picking up back-to-back victories over Arsenal and Chelsea at White Hart Lane.
A defeat at Manchester United followed but Spurs return to their home turf this weekend and Redknapp is clear on the role fans can play.
"The fans really made the difference against Arsenal and Chelsea and we need that again," he told the club's official website.
"The atmosphere in those two games was something special and the players can only be inspired by that."
After coming through such a daunting run of fixtures, Spurs will now fancy their chances of finishing the campaign strongly.
But Redknapp is taking nothing for granted against a Bolton team that has impressed in recent weeks.
He added: "It will be a tough game as well. Bolton caused Chelsea all sorts of problems recently and then went and won at Stoke and we all know how hard it is to get anything at the Britannia.
"You can't underestimate how dangerous opponents Bolton are but we've been in fantastic form, seven wins in our last nine games, and we've played some superb football at White Hart Lane this season.
"Fourth place would cap it all and would be a great achievement. We all want to do it for the fans - and they can play their part as well against Bolton."