While Landis and now Hamilton have spoken out publicly, unidentified sources were used in the "60 Minutes" report to confirm that Hincapie also testified to the grand jury that he and Armstrong shared EPO with each other and discussed having used testosterone in advance of big races.
Armstrong posted a statement in support of his former teammate on the website, writing, "We are confident that the statements attributed to Hincapie are inaccurate and that the reports of his testimony are unreliable."
Hincapie released a statement Friday saying that he did not speak with "60 Minutes" and was unsure of where the show got its information.
In the "60 Minutes" interview, Hamilton revealed that doping was not just allowed but encouraged by doctors and managers of the U.S. Postal team, even before Armstrong joined in 1998.
Hamilton, who twice tested positive for banned substances himself, said management of the team "encouraged" doping, handing out "white lunch bags" containing performance-enhancing drugs to top riders.
Although he said the practice was widespread, Hamilton focused on Armstrong, saying he used drugs but also helped others to get them through coded messages and secret meetings.
"I reached out to Lance Armstrong... and he helped me out," Hamilton said.
Armstrong was diagnosed with testicular cancer in 1996 but survived and made an incredible comeback, winning the Tour de France a record seven consecutive years, from 1999 to 2005.
He retired from the sport at his peak, but made a comeback in 2009, at age 37, saying he both missed the thrill of competition and wanted to promote a greater cause to which he'd devoted his post-cycling life, cancer awareness.
Armstrong retired again after his 2009 comeback and is no longer racing.
The Associated Press contributed to this story.