Almost two-thirds of registered voters think President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE should agree to an interview with special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE, according to a USA TODAY/Suffolk University poll released Wednesday.

Of those surveyed, 63 percent say the president should sit for an interview with the special counsel, that includes nearly one-third of Republican respondents. Twenty-seven percent said the president should not do an interview.

The poll was conducted after former Trump Campaign Manager Paul Manafort was found guilty on tax and bank fraud charges and long-time Trump personal attorney Michael Cohen pleaded guilty to charges of bank and tax fraud and campaign finance violations.

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Both cases were initiated by the Mueller team.

About 55 percent of respondents say they have a lot or some trust that Mueller’s investigation will be fair and accurate, compared to only 35 percent who say they have a lot or some trust on Trump’s denials of collusion with Russia during his campaign.

Trump has repeatedly slammed Mueller's investigation as a “witch hunt.”

Manafort faces a second trial in the U.S. District Court for the District of Columbia next month on separate charges that include conspiracy, money laundering, failing to register as a foreign lobbyist and making false and misleading statements to federal agents.

Cohen’s plea to a charge of campaign finance violations surrounds hush money payments he made during the campaign to women who allegedly had affairs with Trump. He said he did so at the direction of “a candidate for federal office.”

Despite having confidence in the Mueller probe and lacking confidence in Trump’s collusion denials, voters remain relatively split on the issue of impeachment, with 44 percent supporting and 47 percent opposing impeaching the president.

Republicans have seized on impeachment as a way to get out the vote in the November midterm elections, claiming a Democratic-held House of Representatives would indeed begin impeachment proceedings against the president.

While a handful of Democrats have said they support such a move, leaders, such as Rep. Nancy Pelosi Nancy PelosiPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 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 Trump signs largely symbolic pre-existing conditions order amid lawsuit MORE (D-Calif.) and Chuck Schumer Chuck SchumerPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 3 reasons why Biden is misreading the politics of court packing Cruz blocks amended resolution honoring Ginsburg over language about her dying wish MORE (D-N.Y.), have remained wary, recognizing its potential to fire up a depressed GOP base.

The poll was conducted via telephone interviews with a thousand registered voters from Aug. 23-28 and has a margin of error of plus or minus three percentage points.