Redknapp first aired such a suggestion following a 3-2 victory over bitter rivals Arsenal five weeks ago, and he did so again after the 2-1 victory at Aston Villa in which Spurs played for over an hour with 10 men in the wake of Jermain Defoe's dismissal.
"I've not changed my mind," insisted Redknapp after being asked whether he maintained his view on his side's title aspirations.
Redknapp rightly recognises Tottenham are long shots as they stand fifth in the Barclays Premier League, seven points behind unbeaten Manchester United who have also played a game less.
But after witnessing the spirit and resilience of his players in the face of adversity at Villa Park, Redknapp feels it would be foolish to write off his side.
He added: "But we are massive outsiders - 33-1 or whatever - and that's about right I suppose.
"I keep saying it's open this season, and it's not impossible. You have got to believe you can achieve something. It's there for someone to have a real crack at it this season as there is very little between the top five or six teams.
"We're playing as well as anybody, and we've people who could get in any team - (Gareth) Bale, (Luka) Modric, (Rafael) van der Vaart.
"We've some quality players throughout the team. We've a good squad. The main aim is obviously to get into that top four again, to get back into the Champions League.
"But if you have a good run, you don't know where it can take you. It's happened before."
Source: PA
Source: PA