After much speculation over the past 48 hours, it was confirmed on Thursday morning that Redknapp would be leaving his post at White Hart Lane after three-and-a-half years in charge.
And former Spurs favourite Roberts insists the news didn’t surprise him.
He told the Alan Brazil Sports Breakfast: “I’m not shocked. I heard a few weeks ago from some influential people that Levy wouldn’t offer him a new contract. Harry was apparently pushing for two of three more years, but the chairman said ‘no chance’.
“The person who told me is very well in with the chairman, so it wasn’t a shock that he’s gone. I knew two weeks ago it was on the cards.
“Everyone is having a go at Levy but he runs the club properly. He won’t break the wage structure. I think the highest paid player is on £70,000 a week and he won’t break that, and the finances are all in place.
“Maybe they would have finished third [this season] if they’d signed [Carlos] Tevez and [Gary] Cahill, but we didn’t. And maybe Harry would have got another contract if he’d done that.
“But the vibes from those in the know were he wouldn’t be offered a new deal unless he got into the Champions League in this next season coming.
“The chairman runs the club properly on a profit and you have to back his decisions.”
Speculation will now begin as to who will replace Redknapp, with Everton manager David Moyes the favourite. And Roberts believes that would be a good move.
“I think David Moyes is the number one choice,” he added. “I can’t see them going for a foreign manager because of what happened with Juande Ramos.”