Neil pinpointed the behaviour of business secretary Vince Cable last December as making the deal an almost certainty. Cable was stripped of the power to arbitrate over the takeover after telling two undercover reporters that he had "declared war" on Murdoch's media empire.
Asked whether anything could now block Murdoch's News Corp from taking full control of Sky, Neil told ITV News: "I don't think this can be stopped now. I'm afraid Mr Cable and his behaviour made it pretty much a done deal."
Today, culture secretary Jeremy Hunt approved a plan from News Corp to spinoff Sky News as a separate company, paving the way for the £8 billion Sky takeover to go ahead.
Neil, who now hosts This Week on BBC One, said that this is a "good deal" for Murdoch as he will get full control over Sky's multi-billion pound revenues, and only have to surrender the loss-making Sky News operation.
"It certainly is a good deal for Rupert Murdoch because he'll get his hands on all of Sky - that's worth billions to him," he said.
"The price he's had to pay is he has got to offload a warehouse - the loss-making Sky News division and he'll continue to subsidise it £20m to £30m a year - it's like an economic rent. And it means that he's getting billions in return for a rent of £20m to £30m. It's a no-brainer for him."
Neil added: "As far as the British public is concerned, they still get Sky News, it's very important in a country of our size that we have three major broadcasting news providers - the BBC, ITV, ITN and of course Sky. Whether Sky will be as well funded in the future of course is another matter. It could suffer at the edges by being at arm's length of the Murdoch operation rather than in the family."
Neil even suggested that Murdoch's 39.1% stake in the new Sky News company, called Newco, could enable him to exert control over the broadcaster in the future.
"You know, Rupert Murdoch I've said is like an Italian when it comes to negotiations. The real negotiation only begins once he's signed the deal and he's going to retain 40% of the new company that will own Sky News and he's going to be providing most of the cash," said Neil.
"In my view, if you own 40% and you provide most of the cash, you in some way have got control and in the end it could come back to you. It's a long game for him here. I would not rule out Rupert Murdoch once again having control of Sky News."
An alliance of media groups - including the owners of the Daily Mail, The Mirror and The Guardian, along with BT - is currently considering legal options to challenge the government's decision to approve the Sky takeover, including a possible judicial review.
Neil said that the rival newspapers are not concerned about the future of Sky News, instead they are worried about the Murdoch-owned News International group - publisher of The Sun, The Times and others - benefitting from Sky's financial muscle.
"The opposition of all the other newspapers like The Telegraph, The Mail and so on, this hasn't been properly reported. It's nothing to do with Sky News. They couldn't give a stuff about Sky News," he said.
"They're terrified that Mr Murdoch now gets a handle on a billion pounds of free cash a year by owning all of Sky. And he uses some of that money, it wouldn't have to be much, into a newspaper war, a price-cutting war, that drives the other papers out of business.
"That's their concern and it will be interesting to see if the government has got any regulations to stop that from happening because that would reduce the diversity of media."