Spurs had been well ahead of Arsenal in third place in the Premier League but a poor run of form - including a loss at the hands of their north London rivals - saw them slip down into fourth spot.
The club do, however, remain in the FA Cup and the 65-year-old is aware how the fixture list might get congested towards the end of the season.
“Every game is important now,” Redknapp confessed to reporters on Friday.
“We have a semi-final to look forward to, but we have also got important league games to come.
“We want Champions League football next year so we can't afford really to slip up anywhere.
“We have really got to go full tilt at every game. We can't afford to take our football off the pedal or rest people up for a semi-final.
“If we are fortunate enough to get to the final, we will be playing the Wednesday before and the Tuesday after so the games will come thick and fast now.”
|"We have really got to full tilt at every game. We can't afford to take our football off the pedal or rest people up"
- Harry Redknapp
On Sunday, Spurs host newly promoted Swansea City, who have taken to the Premier League well and sit comfortably in mid-table.
Redknapp singled out Swans manager Brendan Rodgers for praise, enthusing: “He's someone who has a fantastic future.
“I don't know what his long-term plans are but certainly the job he has done at Swansea has just been amazing.
“I remember speaking to Frank Lampard a few years ago when [Rodgers] was at Chelsea and he was telling me how good he was then.
||Tottenham are 50/1 with William Hill to beat Swansea 4-2
“I just think it has been fantastic that a team can come up and play the way they have played, pass the ball as they do.”
Swansea’s most recent scalp came in a 1-0 win at home to Manchester City, although away from the Liberty Stadium their form has not been as intimidating.
“It's so difficult to play them. They are fearless," Redknapp added.
“They have caused everyone problems this year, from Manchester United, to Manchester City, ourselves, Arsenal, Chelsea.
“They don't care who they play against, they have given them big, big problems.”