(CNN) – A new poll indicates Hillary Clinton is either tied with or holds a narrow advantage over potential Republican presidential contenders in Iowa and New Hampshire.
According to a new NBC News/Marist survey, Clinton is tied with Kentucky Sen. Rand Paul at 45% in Iowa and barely edges out New Jersey Gov. Chris Christie, 44%-43%.
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The poll also included a hypothetical matchup between Clinton and former Florida Gov. Jeb Bush, who's considering a 2016 run. Clinton is slightly ahead of Bush in Iowa, 46%-42%.
The survey comes as Christie travels to the Hawkeye State on Thursday - his first trip in two years to the state that holds the first presidential nominating contest.
In New Hampshire, another key primary state, Clinton leads Paul, 46%-43%, and holds a 47%-42% margin over Christie. She's also ahead of Bush in the Granite State, 47%-42%.
Here's how the numbers line up for the potential GOP caucuses in Iowa:
Paul Ryan 11%
Rick Santorum 9%
Rick Perry 7%
Ted Cruz 7%
Marco Rubio 7%
Scott Walker 5%
Bobby Jindal 1%
Paul and Christie fare better in a potential New Hampshire GOP primary. Like in Iowa, however, a sizable portion of the Republican electorate is undecided:
Paul – 14%
Christie – 13%
Bush – 10%
Cruz – 9%
Ryan – 7%
Rubio – 7%
Walker – 6%
Perry – 5%
Jindal – 4%
Santorum – 3%
As for the Democratic side, the Iowa poll asked about Clinton and Vice President Joe Biden, leaving out other potential contenders, such as Sen. Elizabeth Warren of Massachusetts:
And Clinton also holds a massive lead among Democrats in New Hampshire:
Clinton – 74%
Biden – 18%
Undecided – 8%
The Iowa survey was conducted July 7-13, with 558 potential Republican caucus-goers and a sampling error of plus or minus 4.1 percentage points. The poll included 538 potential Democratic caucus-goers, with a sampling error of plus or minus 4.2 percentage points. For questions about the general election, 1,599 potential voters were interviewed, with a sampling error of plus or minus 2.5%.
The New Hampshire survey was also conducted July 7-13, with 544 potential GOP primary voters and a sampling error of plus or minus 4.2 percentage points. For questions about the potential Democratic primary, 479 potential voters were interviewed, with a sampling error of plus or minus 4.5 percentage points. On the general election, 1,342 registered voters were questioned, with a sampling error of plus or minus 2.7 percentage points.