And majority are worrying about how they'll make the most their short time in front of the stern, reticent former Federal Bureau of Investigation director.
He will then testify before the House intelligence committee in a separate hearing.
The Judiciary Committee also sought to interview former Mueller aides Aaron Zebley and James Quarles behind closed doors on Wednesday. Politico said some junior members of the 41-member Judiciary Committee would have been shut out.
Judiciary Committee Chairman Jerry Nadler, D-N.Y., and intelligence Chairman Adam Schiff, D-Calif., said late on Friday that moving Mueller's appearance to July 24 would give members of Congress more time with him. "After a brief break, the House Intelligence Committee will convene for additional public testimony beginning at 12:00pm", the chairmen said in a statement.
Mueller's report - the culmination of a almost two-year investigation into alleged Russian meddling into the 2016 presidential election and potential coordination with the Trump campaign, and subsequently obstruction of justice - found that while there was Russian interference in the election, there was not enough evidence to point to criminal conspiracy or coordination between the Trump team and the Russians.
The Mueller report said there were no proofs on the links between the election team of President Donald Trump and Russian Federation, but did not give a conclusion on the possible crime of obstruction of justice by Trump.
"I don't think anyone has said they want their time in the spotlight, I think at the end of the day the American people will be better served if we spend as much time as possible communicating the importance of the stakes of this hearing as it relates to an incredible attack on our democracy, unprecedented in our nation's history", Jeffries said. Mueller also said there was not enough evidence to establish a criminal conspiracy between Trump's presidential campaign and the Kremlin.
"Charging the president with a crime was not an option we could consider", he said at the time.
Saying that Mr. Mueller has already made clear his conclusions, the president added, "You can only get so many bites at the apple".
Some lawmakers were told Friday morning that the hearing with Mueller had been delayed, according to three of the people, but there was still uncertainty heading into Friday evening as the talks continued.
The official did not name that person.
Democrats who favor impeachment efforts against President Trump have hoped that testimony by Mueller about his report's findings would further fuel their effort.
The committees have not officially announced any format.
So one reason for a delay could be to permit more time for negotiations within Congress over the ground rules for the hearings. While every member of the smaller Intelligence panel was expected to be able to question Mueller, fewer than half of Democrats and Republicans on the Judiciary panel would have been able to do so in the original two-hour timeframe.
"I have been elected just like anyone else here", said Arizona Rep.
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