Amanpour pressed him on how it was a close race in such a Democratic state.
"What I know about people is that they vote for the person, not necessarily the party and that is increasingly true these days and I hope they will vote for me," he said.
Part of Blumenthal's difficulties have stemmed from statements he made claiming to have served in Vietnam during the Vietnam War. It turns out, he served in the Marine Corps Reserves stateside and never went to Vietnam during his tour of duty.
"I have answered the question about Vietnam saying that I am sorry that I inaccurately described my military record. I am proud of having served in the United States Marine Corps Reserve and I think the voters of Connecticut are concerned about the real issues," he told Amanpour at his campaign headquarters. "And I believe that those are the issues that will be center in the election."
"I always run like I'm an underdog, like I'm 10 points behind," he said. "But I think there is a very clear contrast between someone who has been a CEO, claims to create jobs, and has treated people in a way I don't think the people of Connecticut would want anyone representing them to treat them.
Cindy Smith contributed to this report