The 34-year-old, who was banned from competing in races for two years for testing positive for a banned substance, believes that Armstrong was right to own up to his mistakes during an interview with Oprah Winfrey.
"I've been there and done it so I know what he could possibly be going through," the Daily Mail quotes Chambers as saying. "I only hear what I hear on the radio but I think, 'I know what that's like'.
"Anyone who's done wrong in their life and been found out for doing wrong, then you would think they would want to feel a lot happier by just being honest about it. If you make mistakes, we have young people looking up to us so, for me, owning up is the right thing to do."