Cudicini underwent surgery last Friday on his right wrist and pelvis after a road accident, with Redknapp unaware his player rode a motorbike.
"I would think it would be the season (he is out for)," Redknapp said. "He'll be back. It will be a long job but he'll be back."
Redknapp added: "We don't let them do it. I've never even thought about a player riding a motorbike. We didn't know he had a bike and I'm sure he won't be riding one again to work. My only concern was his health when I went to visit him."
Cudicini is positive about the outcome of the surgery and has thanked well-wishers following the crash.
"The current position is that the operations went very well and I am already moving my wrist," he said.
"This morning I met the hand surgeon and he would like to see me again on December 18 and, if everything is okay, I will no longer need any protection on the right wrist and I will be able to move it like the other one.
"Regarding the pelvis, I am still waiting to see the surgeon later on, but from what he said to me last time he would like to check on me every month and, at the end of the 12 weeks, now 11, I will be able to move without the crutches and free to begin my preparations."
He added: "You don't want to have an accident like this to check out how many people love you!
"But I have to say that the response has been unbelievable and I have received many emails and cards from Tottenham and Chelsea fans, people who work at both clubs - and also from people who don't support Tottenham or Chelsea. All in all it has been a touching reaction from people who support football in general.
"I want to thank everybody because, for sure, it has made me feel much, much better."