Defeats to Arsenal, Manchester United and Everton, followed by draws against Stoke City and Chelsea, saw Spurs drop into fourth.
The club looked set to ruin their early season good work but are back on the straight and narrow after defeating Swansea City, retaining their five point gap to fifth place Chelsea.
"I never felt we played badly, we were just unlucky," said Redknapp. "We’re playing well and we had a good week with Chelsea, Bolton and Swansea.
"I've been at clubs where the players look like their confidence has gone, but this lot have been fantastic, knocking the ball around in training and I just felt we were playing well and needed a little luck. I never had any doubts."
Emmanuel Adebayor scored twice to down The Swans last Sunday, after Rafael van der Vaart's superb strike was cancelled out by Gylfi Sigurdsson's effort.
The result gives Tottenham the initiative in the race for the fourth Champions League spot, and with a favourable run-in, the north Londoners can feel positive about clinging on to the position.
Redknapp says if his side can finish above both Chelsea and Newcastle United, both level on points behind Spurs, then the spot is there's.
"The key is finishing above Chelsea and Newcastle as well," added Redknapp.
"Four teams are scrapping it out and there's not a lot in it with seven games to go, us and Arsenal level, five points to Chelsea and Newcastle.
"Now we play Saturday and Monday, a long trip up to Sunderland, Norwich at home - two tough games. Everyone will be juggling their resources. It will be the survival of the fittest."