Andy Carroll is unlikely to leave Newcastle United, says manager
Spurs currently lie fifth in the Premier League standings, four-points behind fourth placed Chelsea. But the former Portsmouth boss believes he already has enough players at his disposal.
"We've got so many players here it would be hard fitting anybody in," Redknapp told Sky Sports News.
"We're not too desperate for anything. We're more than strong everywhere so unless it's someone who's a bit special I don't think we'll be doing too much.
"If someone's there that we feel can make the difference, it might just be a character or leader or somebody who can give you something at the club.
"If that type of person's available then we'd be interested, but at the moment we're not closing in on anything."
In the wake of Chris Hughton being sacked by Newcastle United, Andy Carroll had been linked with a move to Spurs. But Redknapp does not think that the big forward will leave the Tyneside club.
"He's got fantastic potential," he said. "He's a top player, no doubt. He's a real handful and he's taken the Premier League by storm the first half of the season.
"If he was available I think there'd be plenty of people want him because he's an old-fashioned centre-forward, but I see [Newcastle manager] Alan Pardew wants to keep him and I don't blame him so I don't see him moving."
The ex-West Ham United manager has also been thought of as the one to take the reins to the England national team when current boss Fabio Capello walks away after Euro 2012.
FA general secretary Alex Horne has already confirmed that the 63-year-old would be considered as a potential replacement for the Italian, but the Tottenham gaffer is not counting chickens before they are hatched.
Redknapp said: "I don't think about it too much.
"I just get on with my life, that's how I am. I'm not a person who starts thinking about what's going to happen. It's 18 months down the line, you never know in this game, you never know in life... 18 months is a long way off.
"I love doing what I'm doing here. But I've always said if an Englishman gets offered the job it would be very hard for any English person to turn it down because it's his country.
"At the moment I'm just concentrating on trying to keep Tottenham going and getting some results over this Christmas period.
"Of course everybody wants to manage at the top level and England would be the pinnacle for anybody. But whether it would ever happen, I wouldn't be sure."