President Trump Donald John TrumpFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Former Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick MORE is trailing former Vice President Joe Biden Joe BidenFormer Pence aide: White House staffers discussed Trump refusing to leave office Progressive group buys domain name of Trump's No. 1 Supreme Court pick Bloomberg rolls out M ad buy to boost Biden in Florida MORE and leading Sen. Elizabeth Warren Elizabeth WarrenOvernight Defense: Appeals court revives House lawsuit against military funding for border wall | Dems push for limits on transferring military gear to police | Lawmakers ask for IG probe into Pentagon's use of COVID-19 funds On The Money: Half of states deplete funds for Trump's 0 unemployment expansion | EU appealing ruling in Apple tax case | House Democrats include more aid for airlines in coronavirus package Warren, Khanna request IG investigation into Pentagon's use of coronavirus funds MORE (D-Mass.) in key battleground states, according to a New York Times/Siena College survey released on Monday.

The poll shows Biden leading Trump by 5 points in Arizona, 3 points in Pennsylvania and Wisconsin, and by 2 points in Florida, margins all near or within the poll's margin of error.

The president and former vice president are also neck and neck in Michigan, according to the survey.

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Trump led Biden by 2 points in North Carolina, however, which has become more competitive for Democrats in recent years.

Trump won all six of the battleground states in 2016.

Pollsters also found that the president leads Warren by 6 points in Michigan, by 4 points in Florida, and by 3 points in North Carolina.

The two are even in Pennsylvania and Wisconsin, and Warren edges Trump by 2 points in Arizona.

Another progressive 2020 White House hopeful, Sen. Bernie Sanders Bernie SandersSirota reacts to report of harassment, doxing by Harris supporters Republicans not immune to the malady that hobbled Democrats The Hill's Morning Report - Sponsored by Facebook - Republicans lawmakers rebuke Trump on election MORE (I-Vt.), leads Trump by 2 points in Michigan and Wisconsin, and by 1 point in Pennsylvania. Trump tops Sanders in Florida, Arizona and North Carolina.

The poll can be seen as a warning for Democrats ahead of the 2020 presidential election, illustrating Trump's competitiveness in key battleground states.

The results could also be used to back up Biden's argument that he stands the best chance of defeating Trump in 2020. The Biden campaign has repeatedly touted the former vice president's electability against the president as Warren has risen in a number of state and national-level polls.

"We have got to beat this man. It’s not enough that we just beat him. We’ve got to beat him soundly so everyone knows we are not going back to a time when another president like him can hold that office,” Biden said in Iowa last Friday. “And I will beat him like a drum if I’m your nominee, and he knows it.”

The New York Times/Siena College poll was conducted from Oct. 13-26 among 3,766 registered voters. The margin error in each state poll is 4.4 percentage points.

— This report was updated at 7:05 a.m.