Redknapp believes that Chelsea’s terrible form over the early part of the campaign has provided an opening, and he feels that Spurs are good enough to take it.
The Lilywhites are unbeaten in their last 10 matches, but they take on Arsenal next and Redknapp feels that the derby encounter could be season-defining for both of the North London sides.
"Spurs have a great chance of making the top four,” the 68-year-old said. “Chelsea’s problems have given the chasing pack genuine hope of reaching the Champions League places.
"Arsenal could win the League. I tipped them before the start of the season and it looks like it’s between them and Manchester City.
"Whoever wins on Sunday will have the usual bragging rights but also a real belief they can reach their goals this season.”
Tottenham are currently one point off the top four pace, but they are looking like one of the toughest teams in England to beat.
Mauricio Pochettino’s side are already nine points clear of Chelsea, and it will be hard for the Blues to bridge that gap – unless Spurs’ form takes a nosedive.
At the moment the Lilywhites have great confidence, and they seem to have added a cutting edge to their excellent defensive performances – having scored eight times in their last two games.
It gives them momentum heading into their match against Arsenal, but Arsene Wenger’s side are looking stronger than they have for a number of years, and they will be very tough to knock out of their stride at the Emirates.