Sen. Elizabeth Warren's presidential campaign is continuing to gain ground in the 2020 race, with the Massachusetts Democrat seeing a rise in two national polls released Tuesday.

Warren saw a 2-point gain in the latest Morning Consult poll, bringing her support to 13 percent among those surveyed.

According to the poll, Warren has notched a 5-point gain in vote share in the past six weeks, propelling her to among the top-tier candidates. Morning Consult found that Warren went from being nearly tied with Sen. Kamala Harris (D-Calif.) and former Rep. Beto O'Rourke (D-Texas) to becoming the clear No. 3 candidate - behind former Vice President Joe Biden and Sen. Bernie Sanders (I-Vt.).

Biden and Sanders, the poll found, maintained their support at 38 percent and 19 percent, respectively.

Warren also solidified her position in third place in an Emerson poll released Tuesday.

The poll found Warren was the top choice for 14 percent of respondents - a 4 percent jump from the month before - compared with Biden's 34 percent and Sanders's 27 percent.

In head-to-head matchups with Democratic opponents, the Emerson poll found that President Trump trails each candidate. Biden and Sanders each hold a 10 percent advantage over Trump in the hypothetical matchups, according to the poll, with 55 percent support to Trump's 45 percent. Warren, in the same matchup, leads Trump 53 percent to 47 percent.

Warren's rise in the two polls comes ahead of the first Democratic presidential primary debates. Warren, who has seen her support rise in recent weeks alongside a slate of detailed policy proposals, will appear on the stage for the first night of debates.

The race's other top-tier candidates - Biden, Sanders, Harris and South Bend, Ind., Mayor Pete Buttigieg - will debate on the second night.

The Morning Consult survey polled 16,188 registered voters from June 17 to June 23 and has a margin of error of plus or minus 1 percentage point. The Emerson polling data was collected June 21-24 and has a margin of error of plus or minus 4.5 percentage points for the Democratic primary.