"For me, today is the end of this campaign," Fimian said.
Fimian said he will not pursue a recount of the vote unless the results "change significantly" when state election officials certify Connolly's 981-vote margin of victory on Nov. 22.
Though Connolly won a second term, three other incumbent Democrats in Virginia were defeated in a nationwide Republican sweep that captured at least 60 House seats.
"There were four competitive races in Virginia," Connolly said. "Only one was left standing."
- David Sherfinski