Despite rumors that U.S. Sen. Elizabeth Warren, D-Massachusetts, may pursue a White House bid in 2020, a new poll has found that she is not voters' first or second choice to serve as the next Democratic presidential nominee.

According to a Harvard-Harris poll released this week, just 9 percent of respondents said they think the Massachusetts senator should be the 2020 Democratic candidate for president -- placing her behind 2016 Democratic candidate Bernie Sanders and former first lady Michelle Obama, who received a respective 14 and 11 percent of the vote.

An overwhelming majority of voters surveyed -- 45 percent -- however, said they'd like to see "someone new" make a Democratic run for the Oval Office in the next presidential cycle

Although a relatively small percent of respondents stood behind a potential Warren 2020 bid, support for the senator slightly exceeded that of 2016 Democratic presidential nominee Hillary Clinton, whom just 8 percent of voters said they'd like to see run again.

Dallas Mavericks owner Mark Cuban trailed with just 4 percent of respondents saying they'd support him as the 2020 Democratic nominee, followed by New York Gov. Andrew Cuomo, television host Oprah Winfrey and New Jersey Sen. Cory Booker, who each received 3 percent of the vote, according to results.

In addition to finding broad support for promoting newer faces in the 2020 election, the poll found a perceived lack of leadership in the Democratic Party.

Four in 10 respondents said they believe "no one" is the current leader in the party, while 15 percent attributed the role to former President Barack Obama and 12 percent named Sanders, a politically independent senator, as its head.

Eleven percent said they see Warren as the Democratic Party's leader.

The poll surveyed nearly 3,000 registered voters online from March 14 to 16.

Its results came shortly after President Donald Trump said a 2020 challenge from Warren would be "a dream come true."

Warren, in response to the Republicans' remarks, stressed that she is focused on 2017 and policies being pushed by the Trump administration.

The Democrat largely dismissed the prospect of a White House run during a Monday morning appearance in Springfield where she playfully hushed a group of supporters urging her to challenge Trump and asked them to "sit down."

Colin Reed, executive director of Republican communications Super PAC America Rising, however, questioned Warren's commitment to Massachusetts voters in a Boston Herald Op-Ed piece published Wednesday.

"Politicians' actions always speak louder than their words, and Warren's activities reveal her true motive: running for higher office," he wrote, contending that failure to focus on constituents could dash any White House dreams.