Sen. Dean Heller Dean Arthur HellerOn The Trail: Democrats plan to hammer Trump on Social Security, Medicare Lobbying World Democrats spend big to put Senate in play MORE (R-Nev.) holds a slim but statistically insignificant lead over Rep. Jacky Rosen Jacklyn (Jacky) Sheryl RosenHillicon Valley: Election officials prepare for new Russian interference battle | 'Markeyverse' of online fans helps take down a Kennedy | GOP senators unveil bill to update tech liability protections Google, Apple, eBay to meet virtually with lawmakers for tech group's annual fly-in Senate Democrats demand answers on migrant child trafficking during pandemic MORE (D-Nev.) in the Nevada Senate race with a month left until Election Day, a poll released Tuesday found.

An NBC News/Marist poll shows Heller leading 46-44 percent among likely voters. The difference falls within the poll's margin of error of 5.5 points. Heller is considered one of the most vulnerable Republican senators up for reelection next month.

The poll found that independents favor Heller, 42-39 percent. The incumbent is also the preferred candidate among likely male voters by a 16-point margin.

Rosen holds an 11-point advantage among likely female voters.

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Democrats also hold a narrow enthusiasm edge among likely voters, the poll found. Eighty-nine percent of likely Democratic voters view this year's midterms as "very important," compared to 82 percent of likely Republican voters who say the same.

In addition, 51 percent of likely voters said they will cast their vote to send a message for more Democrats to serve as a check on President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE, while 39 percent said their vote will serve as a call for Republicans to advance the president's agenda.

While the poll was conducted days before Supreme Court Justice Brett Kavanaugh Brett Michael KavanaughHarris faces pivotal moment with Supreme Court battle Poll: 59 percent think president elected in November should name next Supreme Court justice Feinstein 'surprised and taken aback' by suggestion she's not up for Supreme Court fight MORE was confirmed, it found that 38 percent of likely voters are more likely to support a candidate who voted for Kavanaugh, while 41 percent said they are less likely to do so.

Another 18 percent said the issue does not matter to their vote.

Heller was among the 50 senators who voted to confirm Kavanaugh last Saturday.

The NBC/Marist poll surveyed 574 likely voters from Sept. 30 to Oct. 3.

Trump has backed Heller and visited Nevada last month to stump for the incumbent and to attack Rosen, whom he has labeled "Wacky Jacky."

The Cook Political Report, a nonpartisan election forecaster, rates the Nevada race as a "toss-up."