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"I was stunned," Travis Tygart, the head of the anti-doping agency told "60 Minutes Sports'' about the alleged 2004 offer. ''It was a clear conflict of interest for USADA. We had no hesitation in rejecting that offer.''
Armstrong attorney Tim Herman said there's no truth to the story.
"He never made any such contribution or suggestion," Herman said in a statement e-mailed to CNN Wednesday.
Annie Skinner, a spokeswoman for the USADA, told CNN that Tygart's quotes, released by "60 Minutes Sports,'' were accurate.
The new accusation is another chapter in the twisting tale of Armstrong, a one-time hero to many who has now fallen in disgrace.
Armstrong will give his first television interview since being stripped of his Tour de France titles to Oprah Winfrey, her network announced Tuesday.
A news release from the Oprah Winfrey Network said the 90-minute "no-holds-barred" interview will air at 9 p.m. ET January 17 and will be simulcast on Oprah.com.
Winfrey will ask the cyclist to address the U.S. Anti-Doping Agency's report, which said there was overwhelming evidence Armstrong was directly involved in a sophisticated doping program, the statement said.
The International Cycling Union, which chose not to appeal the USADA's lifetime ban, stripped Armstrong of his record seven Tour victories in October.
The World Anti-Doping Agency also agreed with the sanctions, which means Armstrong may not compete in sports governed by WADA code.
Before the ban, he was competing in Ironman triathlons and had won two of the five events he had entered. Since the ban he has entered two non-sanctioned events.
According to his Twitter feed, Armstrong has been biking, running and swimming in Hawaii. The Winfrey interview will take place at Armstrong's home in Austin, Texas.
The New York Times reported last week that Armstrong, 41, was contemplating publicly admitting he used illegal performance-enhancing drugs. Such an admission might lead toward Armstrong regaining his eligibility.
One of his attorneys denied Armstrong was in discussion with the two anti-doping agencies.
Dan Wuori, a writer at cycling publication Velo Magazine, said Armstrong may reveal a lot during the Oprah interview.
"I think what we are seeing here is the beginning of Lance's effort at redemption," Wuori said. "More and more continues to come out about Armstrong. This seems like an effort of Armstrong to get ahead of the story and control the narrative."
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