Redknapp's side face the toughest test of their title credentials this weekend when they head to Lancashire looking to close the five-point gap between themselves and the leaders.
Spurs blew the chance to move level with City last weekend when they struggled to a 1-1 draw against Wolves - a result that some saw as proof that they are not capable of seeing their title challenge through to the end of the season.
Despite a recent wobble, City are still favourites to win the championship this year and regardless of the absence of Yaya Toure - who is at the African Nations Cup - and the suspended Vincent Kompany, Roberto Mancini still has a wealth of expensively-assembled talent to choose from.
Samir Nasri, Edin Dzeko and Sergio Aguero made Tottenham look like a Sunday league team back in August when the visitors stormed to a 5-1 win at White Hart Lane.
Most managers would be tempted to go to City and shut up shop, but, with the players he has at his disposal, Redknapp insists his team will throw everything they have at the home side on Sunday.
He said: "We will go there as a positive team. I wouldn't want to go there and sit back. We have people who can hurt them. We will go and take the game to them.
"They (City) will know they have had a game, I'm sure.
"They have outstanding players and they are a good team, but so are we."
With the help of summer arrivals Scott Parker and Emmanuel Adebayor, and after refusing to sell playmaker Luka Modric last August, Spurs have lost just once in the 19 games following the 5-1 thumping against City.
Redknapp admits his team were in disarray that day, but their form since has left him highly confident about their chances of success this weekend - despite the fact that City have won every league game at home this term.
"I think we can win. They are not invincible," the 64-year-old said.
"We lost that game in August, but we had lots of injuries and the midfield wasn't exactly what you would have expected at that time of the year, but Scott (Parker) has done well since he came here.
"My team are confident. We have good players here and they will be looking forward to it.
"I don't think about losing."
City started the season in blistering form but have looked vulnerable recently, losing three of their last five games in all competitions.
The pressure appears to be getting to Blues boss Mancini, who has come in for heavy criticism for his recent touchline antics.
On Monday, he appeared to suggest Martin Atkinson should send off Wigan defender Maynor Figueroa for a deliberate handball, and two weeks earlier the Italian was criticised for waving another imaginary card after Liverpool's Martin Skrtel conceded a penalty in their encounter at the Etihad Stadium.
Redknapp is not a fan of the 47-year-old's gesturing.
"I don't like it. I wouldn't do it. I don't like to see it," he said.
"I don't think there is any need for it. He has done a great job there and when I have met him I have found him a really good guy.
"We all do things we shouldn't do at different times. We get caught up in the game but it's not something I like to see."
Redknapp is likely to be without club captain Ledley King for the seventh game in a row as he struggles to recover from a hamstring strain, while Adebayor is unavailable due to the terms of his loan from City.
The Spurs boss has not completed any major signings in the transfer window yet, but did travel to France to watch Loic Remy score both goals in Marseille's 2-0 victory over Lille.
The Frenchman has vowed not to leave this month, however, and Redknapp was pessimistic about his chances of a January swoop for the player, saying: "People have said he might be available but I don't think they will sell him.
"It was a good performance (last weekend). It probably put another £5-6million on his asking price."