And Chelsea caretaker boss Roberto Di Matteo admitted his side might need to win all their own matches to overhaul Spurs' five-point lead after their goalless draw at Stamford Bridge.
Acknowledging his side had the easier run-in, Redknapp said: "We've got decent games, I think, not easy games, all hard games. We've got to make sure now that we win six out of the last eight anyway, if we can. You'd like to think we've got a chance of that."
Tottenham were more than deserving of a point at a ground where they had not won for 22 years and they may even have ended that risible run had Emmanuel Adebayor and Rafael van der Vaart missed virtual open goals.
The result made it five league games without a win for Spurs but this could prove to be their most precious point of the season and left Chelsea facing an uphill battle to qualify for the Champions League for what would be a 10th successive year.
Informed what Redknapp's points target was, Di Matteo said of his own side's remaining eight matches: "To make the gap up, we would have to win all of them.
"I'm not sure it's as easy as that. You look at the scheduled fixture list and you just have to try to win the next one."
The Italian, whose top priority after replacing the sacked Andre Villas-Boas almost three weeks ago was qualifying for the Champions League, admitted a point was not good enough.
"It's going to be difficult," he added. "But from the day I was appointed, I think we always knew that it was going to be a difficult task.
"There's still eight games to play and we will try to win as many as we can to try to get into fourth spot."
Source: PA
Source: PA