The former Pompey boss takes Spurs to the Ukraine on Thursday to play Shakhtar Donetsk in the last 32 of the Uefa Cup before a crucial trip to Hull on Monday.
Spurs then host the second leg against Shakhtar on Thursday leaving them with just two full days of recovery before they face Manchester United in the Carling Cup final on Sunday.
Redknapp is keen to utilise his full squad in order to keep all of his players fresh but the 61-year-old is already without the cup-tied Robbie Keane, Roman Pavlyuchenko and Vedran Corluka for the Uefa Cup.
Spurs will also have to make do without the injured Jermain Defoe while captain Ledley King and Jamie O'Hara will not be risked for the trip to the Ukraine despite recovering from their respective injuries.
Midfielder Luka Modric is another who may find himself rested for the last 32 match after picking up an injury in training.
"I wouldn't play Ledley in the Uefa Cup even if he was fit," Redknapp said.
"The Uefa Cup is not the most important of our competitions. The game at Hull is far more important to me."
Keane, Pavlyuchenko and Defoe's absence should open the door for fellow frontman Darren Bent for the game against Shakhtar at least.
The 25-year-old is the club's top goalscorer with 14 in all competitions despite finding himself starting on the bench more than he would like.