Republicans have pulled even with Democrats on the generic House ballot according to a new poll released Wednesday, erasing a nine-point deficit from early-October and offering further evidence the bump Democrats received from the government shutdown showdown has dissipated.

Thirty-nine percent of voters say they would vote for the Republican candidate in their district if the election for U.S. House were held today, a new Quinnipiac University survey shows. An identical percentage say they would opt for the Democratic candidate. Nearly one in five (18 percent) didn't express a preference.

In the Oct. 1 survey, taken as the government shutdown showdown was heating up, Democrats led Republicans 43 percent to 34 percent.

Subsequent polls in October showed the GOP sustaining heavy political damage in the wake of the shutdown showdown, including in the battle for the House. An NBC News/Wall Street Journal survey showed Democrats up eight percentage points on the generic ballot at one points. But their lead shrunk to 4 points in a poll released later in the month.

Amid problems with the rollout of Obamacare, President Obama's image has suffered, as has the Democratic Party's. That seems to explain why momentum has swung away from Democrats.

Aaron Blake contributed to this story.