The Spurs boss believes that at this stage of the season results are so unpredictable that his side could end up in third place or in sixth come the end of the season
Spurs had been the favourites to finish third and secure automatic qualification for next season’s Champions League, but a run of three wins in 12 matches has seen them drop four points behind Arsenal with Newcastle United and Chelsea both hard on their heels.
However, Redknapp admits that Spurs could still finish in third ahead of the Gunners, but he refused to make any predictions citing the resurgent form of Wigan and Manchester City as examples of the erratic nature of the final stages of the season.
"You can't predict results. Manchester United had an eight-point lead after [Manchester] City got beat at Arsenal," Redknapp said to Spurs TV.
"You thought that was the end of them, you thought it was all over. You just can't tell. You look at Wigan's games and they had no chance [of avoiding relegation].
"They had to go to Liverpool, Chelsea, Arsenal, play United, Newcastle, five of the top six, and they go on this incredible run. You just can't predict results.
"You never know. You just have to keep going.
"That's all we can do. We've got two tough away games this week and then a tough home game against Fulham to finish with. That's three hard games.
"Newcastle have three tough games, for sure. Chelsea might have the best fixtures. We have to keep going and if we play well, we can do it [third]."
Up next for Redknapp and Spurs is a trip to Bolton on Wednesday evening and although Owen Coyle’s side remain fully immersed in a battle to stave of relegation, the former West Ham manager is adamant the Reebok Stadium is a hard place to go.
He added: "Bolton away is always tough.
"We've been there enough times over the years and it's always a difficult place to go. They are playing well.
"Owen [Coyle] has got them going at the moment. It will be a hard game but we've got to go there and be positive."
With Spurs' recent poor run damaging what was shaping to be one of their best in recent history, their manager isn’t worried, pointing out performances haven’t been poor and adding his players remain confident.
He went on: "We're fine. As I said all along, we haven't been playing badly.
"We had one bad performance against Norwich, they played well and we had a bad day. Other than that we've played very well, the results just weren't going our way.
"We beat Swansea, beat Bolton in the FA Cup, drew at Sunderland, beat Blackburn well at home, so we've not been in bad form, we're confident we're playing well."