"Who actually did he bribe, where were the payments made, were third parties involved and so on? Let's not have innuendos and smears, let's have the actual facts and names of places and towns, the amounts.
"The sort of thing Armstrong was doing, apparently, according to the Usada report, was not just popping a few pills behind the changing rooms, it was sophisticated conspiracies, cheating over a long period of time on a large scale."
The Sunday Times has taken out an advertisement in the Chicago Tribune with a list of 10 questions it wants Winfrey to ask Armstrong. The newspaper announced in December its plans to sue Armstrong for $US1.5m as a result of losing a libel action to him over doping allegations made in 2006.
Among the questions, chief sports writer David Walsh asks whether Armstrong told doctors in 1996 that he had used EPO, human growth hormone, cortisone, steroids and testosterone, whether he intends to return his prize-money, and whether he accepts "lying to the cancer community was the greatest deception of all".
Cookson added: "It's all very strange. After years and years of denials and suing people who have made accusations, he is going to either have to eat humble pie or come up with some extra layers of lies.
"I think there will be all these layers of emotion and obfuscation of the real issue, which is that he cheated, along with a lot of other people in and around his team."