Abraham Olano of Spain finished fourth in the race in 2000, which was won by Viasheslav Ekinov, Armstrong's ex-US Post Service team-mate. Jan Ullrich of Germany took the silver.
Ekinov, general manager of the Katusha cycling team, had his team be dropped from the elite ProTeam list for this season because of ambiguous relationship with doping, while Ullrich is serving a two-year ban for doping.
Armstrong, whose record seven Tour de France titles were taken away last year, was expected to confess to the world in the interview.
Winfrey said the 41-year-old Armstrong admitted taking illegal substances during the interview on Monday.