Tottenham crashed out of the Barclays Premier League top three, which earn automatic Champions League qualification places, for the first time in almost three months after they could only draw 1-1 with Stoke on Wednesday evening. North London rivals Arsenal, meanwhile, won 1-0 at Everton.
Spurs boss Redknapp refused to be disheartened by his side's recent slump, saying: "We can still finish above Arsenal. Arsenal can think it's all over. It's not all over. There's a long way to go yet. There'll be twists and turns. It's all to play for still. They're not going to win every game, are they, I don't think."
Redknapp rubbished suggestions his players might have been affected by Saturday's distressing events, which saw Tottenham's FA Cup tie with Bolton abandoned after Fabrice Muamba suffered a cardiac arrest shortly before half-time.
"Nothing affects them - they've been ready to play," he said. "I'd be making excuses if I said that. I just felt we got a bit panicky. We stopped passing the ball as well."
Stoke looked set to earn a league double over Tottenham for the first time when Cameron Jerome prodded them ahead with 15 minutes remaining but Rafael van der Vaart's stoppage-time equaliser meant they went home with just a point.
Manager Tony Pulis admitted afterwards he thought his side were set to end a run of three fiendishly tough away games with a win having been edged out by Chelsea and Liverpool in the league and FA Cup respectively.
Pulis said: "We're very, very pleased with the effort that the lads have put in on the back of such a tough game on Saturday at Liverpool and on the back of such a tough game at Chelsea. Three away games have been big, big games for the team and the football club.
"Putting in a performance like that today was testament to what the team's all about.
"They're a very, very hard-working group of players who just give everything for one another."
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