Washington (CNN) Nearly two-thirds of American adults do not want President Donald Trump to fire Attorney General Jeff Sessions and say they support special counsel Robert Mueller's investigation into Russian interference in the 2016 election, a new poll finds.

The Washington Post-ABC News poll , released Friday, also finds that 60% of Americans disapprove of Trump's job performance.

Sixty-four percent of respondents -- including 47% of Republicans -- do not believe Trump should fire Sessions, while 19% believe the President should dismiss his attorney general. Trump has repeatedly criticized Sessions' handling of the Justice Department, particularly after he recused himself from the Russia investigation, and he suggested as recently as Thursday in an interview with Bloomberg that he could replace him after the midterms.

As for Mueller -- whose investigation Trump called "illegal" in the Bloomberg interview -- 63% of respondents support his investigation while 29% oppose.

Trump's 36% job approval is a slight tick downward from April , when the outlets last measured Americans' views of Trump and found him at 40%. The most recent poll was conducted immediately after the death of Sen. John McCain, with whom Trump frequently feuded, and the controversy over the White House's belated tribute to his life.

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