Manchin also spoke with the Daily Mail about his pending gun legislation, which is intended to close existing loopholes in the nation's background check system.
He said the bill, which has not been introduced, would require individuals who purchase firearms online or at gun shows to submit to background checks.
Manchin said the law also would add mental health provisions to background checks so persons deemed mentally unstable by a judge would be forbidden to own firearms.
Members of the National Association for Gun Rights protested at the state Capitol last week, claiming Manchin was working with President Barack Obama and Attorney General Eric Holder to create a federal gun registry and pass a sweeping gun control law with Sen. Diane Feinstein, D-Calif.
Manchin fired back last week with a video calling the allegations "a bunch of crap."
He said the bill would not implement a federal registration system for firearms and would not repeal the Second Amendment.
"Trust me, no one's going to take your guns away from you," he said. "Just taking people's rights away is not going to fix the culture."
Manchin said it was important to address mental health in background checks because many mass shooters -- like Adam Lanza in Newtown, Conn., and Seung-Hui Cho at Virginia Tech -- suffered from severe mental illnesses.
"The facts are, we haven't done a good job of doing criminal background checks in the past. And we've done nothing on mental."
He said there would be a provision in the bill allowing mental health professionals to report patients they believe should not own firearms, although the reports would have to go through the court system.
He said he also would like to set up an appeal system for individuals whose mental illnesses could be kept in check with medication.
"We're working through all of those," he said.
Manchin said the bill should be finished this week or next.