The fierce battle to confirm Supreme Court Justice Brett Kavanaugh hasn't turned into an electoral advantage for Republicans so far, according to a CNN poll that found Democrats with a large lead headed into November midterm elections.

In a generic ballot match-up, likely voters favored the Democratic Party's candidate for Congress 54 percent to 41 percent over the GOP candidate, according to the poll. That's little changed from September, when the same poll found 52 percent of voters favored Democratic candidates for Congress.

Democrats have a 30-point lead with women voters, 63 percent to 33 percent, the poll found. Men favor Democrats by only about 5 points, 50 percent to 45 percent. The survey was conducted by telephone Oct. 4-7 and had a 3.8 percent margin of error.