43 percent say if Rosenstein suggested wearing wire he should be disqualified from Russia probe

Forty-three percent of registered voters said that reports Deputy Attorney General Rod RosensteinRod RosensteinJake Tapper fact-checks poster Trump admin created describing Mueller investigation Jeffrey Rosen officially sworn in as deputy attorney general Democrats talk subpoena for Mueller MORE considered recording his conversations with President TrumpDonald John TrumpNASA exec leading moon mission quits weeks after appointment The Hill's Morning Report — After contentious week, Trump heads for Japan Frustration boils over with Senate's 'legislative graveyard' MORE and attempting to remove the president from office should disqualify him from overseeing the federal probe into Russian election meddling. 

Thirty-three percent of respondents said the reported comments, which Rosenstein denies, should not disqualify him. Another 23 percent said they were unsure. 

The question divided voters along party lines, with 67 percent of Republicans saying the comments disqualify the deputy attorney general, while 50 percent of Democrats said the comments do not. 

"People feel that he is biased, and people have some sense of fairness that even [if] they don't like the president, they feel like he should still be treated fairly under the law," Emily Ekins, polling director at the Cato Institute, told Hill.TV's Joe Concha on "What America's Thinking." 

Rosenstein started overseeing the Russia probe last year after Attorney General Jeff SessionsJefferson (Jeff) Beauregard SessionsAmash: Some of Trump's actions 'were inherently corrupt' 'Persuadable' voters are key to the 2020 election — and the non-screaming news industry Jeffrey Rosen officially sworn in as deputy attorney general MORE recused himself. 

The New York Times reported last month that Rosenstein had openly talked about secretly recording Trump in the Oval Office, and had discussed the possibility of the Cabinet using the 25th Amendment to oust the president from office.

Rosenstein has called the Times article "factually incorrect" and some officials defending Rosenstein separately said his comments were made in jest.

The report fueled speculation that Rosenstein could resign or that Trump would fire him, but that speculation has cooled after a meeting between the two was delayed several times.

The American Barometer was conducted on September 29 to 30 among 1,000 registered voters. The margin of error is plus or minus 3.1 percentage points. 

— Julia Manchester