Rangers sit at the foot of the table eight points adrift of safety and seek its first victory of the season when it hosts Aston Villa on Saturday (2.00am Sunday AEDT).
Redknapp has ruled out embarking on a spending spree in January, instead demanding that the current squad start delivering.
"They are the ones that are here, they're the ones that got us into this mess and they're the ones that are going to get us out of it," he said.
"And they can do it. I feel there is enough here for us to do it. That's the situation we are in.
"I won't spend our way out of trouble. If we can get some points, who knows maybe in January we'll make a loan or two if need be.
"By the time January comes we are going to know basically. We've got to make sure we are not cut adrift and we are back in there with a chance.
"What's the point of the club spending money and bringing more players in if you are cut adrift? We don't want that situation.
"The club isn't going to put itself in a position where it is overloaded next year with a lot of big wages when it's not in the Premier League.
"What we do in the next six or seven games will decide where we go in January."
Redknapp reacted to suggestions of divisions within the dressing room by revealing every player has been given a clean sheet.
"We all start together. Until somebody takes a diabolical liberty with us or with me, they're a part of it," he said.
"And it would have to be diabolical because I don't do that very often, isolate people or send them away.
"I've not had to pick too many teams at the moment but in this game, the players you pick think you're great and the ones that you don't pick can't stand the sight of you. That's football, it never changes.
"I've got to pick a team that will win the games, I'm not too worried about upsetting people."