Mousa Dembele opened the scoring for Spurs before Robert Snodgrass levelled things late on to give Norwich a hard-fought point at White Hart Lane on Saturday, leaving new boss Andre Villas-Boas without a win since taking over from the 65-year-old in the summer.
Asked where Tottenham would finish this season, Redknapp told the BBC: "Top four, no danger."
Redknapp also admitted it was difficult watching his former team in action. However, he thinks they have signed a great player in Dembele, a midfielder who he scouted while he was Spurs boss.
He said: "It was difficult today, it's the first time I've actually watched them. It was difficult. But it's finished.
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"It's not something I look at and feel any bitterness about what they do or what they don't do, life moves on. They've got a new manager now, they've got new team. I can watch it in the cold light of day and be constructive.
"It's been difficult, but they've lost a couple of good players. I think [Rafael] van der Vaart and [Luka] Modric are two absolute top class players, but the boy they've brought in today, Dembele, I think is top class as well.
"Great goal, amazing skill. I would have gone for Dembele, he was a player we talked about a lot. I think he'll do great for Tottenham."
Villas-Boas revealed after the match with Norwich that Brad Friedel will retain his place in goal despite the deadline-day signing of Hugo Lloris from Lyon.
"Brad Friedel was top class," Redknapp added. "He's a great professional, a great guy. I can't remember him making too many mistakes. He was great for us all last season and he's carried it on again this year, so it'll be difficult to leave him out of the team. I mean, what has he done wrong?”