Spurs are just four points behind third-placed Arsenal in the Premier League.
Spurs will face Aston Villa at White hart Lane on Saturday evening.
“It is going to be tight,” Redknapp said. “If we would have beaten Birmingham last week when leading 1-0, and we should have had the game over, then we are suddenly not so far away from Arsenal.
“Someone could get third spot. Manchester City could. We could. Liverpool could. Anyone is capable with a run. Arsenal are not 100% sure to be there if they get beaten by Chelsea and other teams pick up good results.
“Arsenal are favourites but it is not impossible for anyone to catch them, there could be a five or six-point turnaround. We thought that Chelsea were running away with it, but now look at it. Wide open again.”
