The cyclist's one-time high-profile relationship with singer Sheryl Crow also kept him in the public eye.
But Armstrong has long been dogged by doping allegations, with compatriot Floyd Landis -- who was stripped of his 2006 Tour de France title after failing a drug test -- making a series of claims in 2011.
Armstrong sued the U.S. Anti-Doping Agency last year to stop its investigation of him, arguing it did not have the right to prosecute him. But after a federal judge dismissed the case, Armstrong said he would no longer participate in the investigation.
In October 2012, Armstrong was stripped of his titles and banned. Weeks later, he stepped down from the board of his foundation, Livestrong.
It is unclear whether Armstrong would face criminal prosecution for perjury should he confess. Armstrong was involved in several cases where he gave sworn testimony that he never used banned drugs.
Armstrong and his publicist did not immediately respond to a CNN requests late Friday and early Saturday for comment on The New York Times report.