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GOP Sen. Dean Heller holds a slight lead over Democratic Rep. Shelley Berkley in a NBC News/Wall Street Journal/Marist poll released Thursday.

Heller has 48 percent support in the poll to Berkley's 45 percent, and 6 percent of respondents say they remain undecided in the closing weeks of the election.

The poll has President Obama with 50 percent of the vote to Mitt Romney's 47 percent. But while 85 percent of Obama voters back Berkley, 92 percent of Romney voters support Heller. The Republican gets 8 percent of Obama voters, while Berkley gets 5 percent of Romney voters. Obama has consistently had better poll numbers than Berkley in Nevada, and she has worked hard to link her candidacy to the president's.

Their previous Nevada Senate poll was conducted in late September, and showed Heller leading Berkley 49 percent to 43 percent. Polls overall have showed a close race.

The new poll shows Heller beating Berkley in Washoe County, Nevada's swing county, 50 percent to 42 percent. Berkley leads Heller 50 percent to 43 percent in Clark County, her geographical base. The September poll had Heller leading Berkley 48 percent to 43 percent in Washoe, but tied in Clark.

The NBC News/Wall Street Journal/Marist poll was conducted October 23 and 24, and surveyed 1,042 likely voters. The margin of error is plus-or-minus 3 percentage points.