Spurs, now managed by Andre Villas-Boas, are without a win after three matches in the league.
"Top four, no danger," Redknapp told the BBC when asked where Tottenham would finish this season.
Redknapp watched his former club draw 1-1 with Norwich City at home in the Premier League on Saturday, and admitted that it was "difficult" for him to do so.
"It was difficult today, it's the first time I've actually watched them," he said. "It was difficult. But it's finished.
"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."
Redknapp was sacked by Tottenham in June despite leading them to a fourth-placed finish in the Premier League in the 2011-12 campaign.