The 29-year-old’s contract is set to expire in the summer and reports says the defender will be offered a new 12-month extension by Spurs.
“He’ll be here next season, for sure,” said Redknapp.
“I don’t know where he’s at with the negotiations, but there’s no way he’ll go. He’s up there with the best centre-halves in the country.
“Ledley has been here since he was a boy and you have to look after people like that.”