Hamilton was one of 11 cyclists to testify against Armstrong in the USADA's investigation into him.
Hamilton told Sky Sports News: "I do believe we will see some sort of truth come out from Lance Armstrong eventually.
"I know it will do him a lot of good personally and it will do the sport of cycling a lot of good.
"We're in a tough spot right now and with Armstrong coming clean we could put an end to this chapter and we could move forward. The peloton today are suffering for our past and that's not fair."
Armstrong was stripped of his seven Tour de France wins after deciding not to protest the findings of the investigation.
Hamilton admitted doping during his career, having failed tests in 2004 and 2009.