Redknapp believes Pochettino's two chances to leave this summer are now "gone".
He told the Daily Star: “I think he's well off, he's got a great job, it's a job that's as good as any job he could have DREAMED of having when he was coming through the ranks, to be manager of Tottenham.
“New stadium, fantastic training ground, some absolutely top players, real good team.
“I'd be very happy where he is, it's as good a job he could have dreaming of doing.
“Real Madrid is gone. Man United is gone - Solskjaer is sure to get that job.
“So I really don't see where he could go that's any better at the moment than managing Tottenham, I think it's a great job for him.
“I'm sure he knows he's well off."