The Spurs boss insisted it was "not impossible" for his side to go all the way to Wembley but admitted it was "unlikely" they would beat the likes of Real Madrid, Barcelona, Manchester United and Chelsea to European football's biggest prize.
Redknapp's declaration came exactly a week after he claimed Tottenham could become Barclays Premier League champions, something that was followed just 24 hours later by a stunning comeback against Arsenal in the north London derby.
Spurs carried the momentum from that 3-2 win into Wednesday night's penultimate Champions League Group A game against Werder Bremen, which saw them clinch qualification for the knockout stage with a game to spare.
Asked if Tottenham, who also stunned holders Inter Milan earlier this month, could succeed the Italians as European champions, Redknapp joked: "I'll be quoted as saying, 'We can win the Champions League', tomorrow!"
He added: "I think Barcelona, Real Madrid are absolutely incredible at the moment; I think anybody beating them is going to do well. Chelsea, Man United, for me, are certainly the two strongest sides still in this country. You don't know, do you? It's not impossible, it's not impossible. Anything can happen, can't it? It's unlikely but it's not impossible."
Source: PA
Source: PA