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 leads the pack of Democratic presidential candidates by double digits, but 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.) is narrowing the gap, according to a new survey by Quinnipiac University Poll released on Tuesday.

Warren’s support rose to 21 percent among Democratic and Democratic-leaning voters, the survey says, a 5-point gain since late last month. That puts her comfortably in second place.

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Biden, the primary contest’s front-runner, still leads the pack, notching 32 percent support in the latest Quinnipiac poll. But that’s a 2-point drop since the last survey, leaving a smaller gap between him and Warren.

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.) gained 3 points in the most recent survey, coming in third place with 14 percent support.

Meanwhile, 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.), who peaked at 20 percent support in early July after a standout performance in the June Democratic debates, continued a downward trend in the poll, dipping to 7 percent.

South Bend, Ind., 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 placed fifth in the survey with 5 percent support.

The Quinnipiac poll comes less than a week after the second round of Democratic primary debates in Detroit. Those debates, which were split between two nights featuring 10 candidates each, saw simmering tensions in the party’s nominating contest explode into a full-blown clash of ideologies and personalities.

Warren is seen by a plurality of respondents — 28 percent — as the candidate with the best debate performance, suggesting that her overall standing in the poll was bolstered by a strong showing. Warren was also rated as the best debate performer in a separate Morning Consult/Politico survey, with those saying she was the best more than double the number who said the same of Biden, the second-place finisher.

Biden’s debate performance took second place in the Quinnipiac poll as well, with 15 percent of respondents choosing him as the best candidate on stage. In Quinnipiac’s last post-debate poll released on July 2, only 6 percent thought Biden had the best performance.

For Harris, the most recent Democratic debate wasn’t as successful as the first. Eight percent said that she appeared to be the best candidate on stage last week, significantly less than the 47 percent that saw her as the clear leader in the first debates in June.

Harris’s showing in the June debate was marked by an explosive confrontation with Biden over his past opposition to school busing. That clash injected a shot of momentum into her campaign and stirred speculation of a second confrontation with Biden in the July debate.

But during last week's showdown, both Biden and Harris found themselves fending off criticism from lower-tier candidates.

At one point, Harris was forced to defend her record as a prosecutor after coming under fire from Rep. Tulsi Gabbard Tulsi GabbardRepublicans call on DOJ to investigate Netflix over 'Cuties' film Hispanic Caucus campaign arm endorses slate of non-Hispanic candidates Gabbard says she 'was not invited to participate in any way' in Democratic convention MORE (D-Hawaii). Some 3 percent of respondents in the Quinnipiac poll said that Gabbard had the best showing in the most recent debate.

Also coming in at 8 percent was Sanders, who saw a 3-point bump over his first debate performance, according to the survey.

Reviews of Buttigieg’s on-stage performances changed little between the first and second debates, with the number pegging him the winner rising from 3 percent to 5 percent.

The Quinnipiac poll surveyed 807 Democratic and Democratic-leaning voters from Aug. 1-5. It has a margin of error of plus or minus 4.1 percentage points.