The 24-year-old winger appears to be edging close to a £93m switch to the La Liga runners-up after months of speculation surrounding the Wales international’s future at White Hart Lane.
And Redknapp believes former Spurs midfielder Luka Modrić will have a key role to play when it comes to helping the former Southampton youth graduate settle at the nine-time European champions.
“I’m sure he’ll go now,” Redknapp told a news conference on Friday.
“He’s a great lad. You couldn’t meet a nicer guy. He’ll go out there and he’ll enjoy it.
“He’s got Luka Modrić who I’m sure will help him. If the deal happens, and I’m sure it will now, he’ll be a great success.”
Redknapp also praised Tottenham’s business in the summer transfer market after André Villas-Boas signed Nacer Chadli, Étienne Capoue, Paulinho and club-record signing Roberto Soldado ahead of Bale’s sale to Madrid.
“Tottenham have done well. They’ve spent before getting the Bale money in,” Redknapp continued.
“If they sold Gareth, suddenly everybody becomes a bit more expensive. I like the look of their team.”
“Spurs have brought great players in and they’ve got a fantastic squad now,” added Redknapp.
“They can challenge for the Premier League this season with that group. They’ve put an absolutely fantastic squad together.
“They’re going to lose Gareth Bale and he was their top man last year. But they’ve brought four or five top players in who will make them an even stronger team.
“If you go through the man for man, they’re every bit as good as any other team at the top.”