Tottenham face Manchester City - another side aiming to break into the top four - on Wednesday night, but Redknapp won't be getting carried away even if they topple Mark Hughes's men at White Hart Lane.
'We're still quite inexperienced really,' said Redknapp. '[Sebastien] Bassong has come from nowhere. Tom [Huddlestone] is young. Wilson [Palacios] has come from Honduras so he's not that used to the Premier League. Aaron [Lennon] is a kid.
'We are not experienced in relation to some of the clubs. Look at Chelsea - [Ricardo] Carvalho, [John] Terry, Lamps [Frank Lampard], [Michael] Ballack, [Didier] Drogba, Ashley Cole.'
Many of Manchester City's players are also only just starting to get used to high-profile, high-pressure games.
City conceded two goals on Saturday from set-pieces - suggesting the game is ripe for Peter Crouch to exploit - but Redknapp does not think that Hughes's team has a weakness in that aspect of their play.
The Tottenham manager said: 'You look at [Joleon] Lescott and the keeper [Shay Given] is fantastic. Micah Richards is great in the air and Kolo Toure. You would not see them having a problem but it is amazing how it goes.
Weapon: Crouch can exploit weaknesses in Manchester City's defending
When I first came here we were losing games every week on set plays. Then we had a great spell of not letting any in. I think a lot of it is confidence.
'When you are conceding goals and a team gets a corner or free-kick, you get that feeling that something is going to go wrong here and it normally does. When you are not conceding, you normally deal with it.
'I think you need everyone to boss each other and make sure you are doing your job and people are getting picked up. Make sure that you are covering all the areas and, if you do that, you have got a good chance of dealing with the set plays.'
Looking ahead to the City game, he added: 'Ourselves and Manchester City are both strong sides. When Manchester City played so well at Old Trafford, earlier in the year, you think to yourself, "Bloody hell". And that was their only defeat.
'The problem Man City have is that teams close it up and make it difficult.'
'It's an important home game, if we can get three points it keeps us in the picture.'
Show me the money: Hughes is able to buy the best players in the world
He doesn't begrudge the money that Hughes has at his disposal.
'It's great for Mark to be able to go out and buy some of the best players in the world. And, eventually, in the next four or five years, I could see them winning the championship. It wouldn't surprise me at all. If these owners stay in, as I'm sure they will, it's there for them.'
Speaking about the flak Robbie Keane has recently taken from fans, Redknapp said: 'Other people have said that to me but I don't notice that really. It's a natural thing for the crowd to groan when players give the ball away but I didn't notice Robbie get anymore than anybody else.
'Our strikers are all good players and we'll keep chopping them around. They'll keep playing. [Jermain] Defoe's in good form - we need him to get back to scoring against City.'
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