Former Vice President Joe Biden Joe BidenPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Hillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns Fox News poll: Biden ahead of Trump in Nevada, Pennsylvania and Ohio MORE holds a slim 3 point lead against Sen. Elizabeth Warren Elizabeth WarrenHillicon Valley: Subpoenas for Facebook, Google and Twitter on the cards | Wray rebuffs mail-in voting conspiracies | Reps. raise mass surveillance concerns On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline Democratic senators ask inspector general to investigate IRS use of location tracking service MORE (D-Mass.) in an Economist/YouGov Poll released Wednesday.

The new poll results follows Warren's trend continuing to close in on Biden's lead in the Democratic primary.

Twenty-one percent of voters said Biden is their first choice candidate in this week's poll, which is a 3 point drop from his lead in an Economist/YouGov poll released last week.

An Economist/YouGov poll earlier this month found Biden held a 12 point lead in the race.

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This week's results could indicate a shift following the first round of debates. As seen in many other polls, Warren and Sen. Kamala Harris Kamala HarrisHundreds of lawyers from nation's oldest African American sorority join effort to fight voter suppression Biden picks up endorsement from progressive climate group 350 Action 3 reasons why Biden is misreading the politics of court packing MORE (D-Calif.) saw a surge in support.

The web-based poll surveyed 1,500 people, 1,265 of which are registered voters. The margin of error is plus or minus about 2.9 percent.

Harris trails Warren at 13 percent, pulling ahead of Sen. Bernie Sanders Bernie SandersThe Hill's Campaign Report: Trump faces backlash after not committing to peaceful transition of power Bernie Sanders: 'This is an election between Donald Trump and democracy' The Hill's 12:30 Report: Trump stokes fears over November election outcome MORE (I-Vt.) by 3 points. Harris had polled behind Sanders in last week's poll, conducted before the debates.

Support for South Bend, Indiana, Mayor Pete Buttigieg Pete ButtigiegBillionaire who donated to Trump in 2016 donates to Biden The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November Buttigieg stands in as Pence for Harris's debate practice MORE also went up by 5 points to 9 percent.

All other candidates are polling at 3 percent or less.