In response to a subpoena, Mueller will testify July 17 before two separate House panels led by Democrats.
Hope Hicks, President Donald Trump's former communications director, delivered testimony to the House Judiciary Committee, a transcript of which is now public.
The Judiciary Committee says it's reached a long sought-after deal with the Justice Department to begin receiving underlying evidence from the Mueller report.
The public hearings will play a crucial role in Democrats' ability to highlight what they believe was wrongdoing by Trump. Some Democrats will likely use the opportunity to make their case why the House should open an impeachment inquiry, a move that a growing number of party members have called for since the Mueller report's release.
"It's a can of worms, it's a new headache that the president doesn't need, it advances the law into Congress' court," Andrew Napolitano said.
"Mr. Mueller told us a lot of what we need to hear today," the chairman said when prompted whether he would subpoena the special counsel.
The House Judiciary chairman said his committee would not cease its pursuit to obtain documents and testimony from dozens of government officials, the White House and business entities associated with President Donald Trump.
The White House's assertion that it does not need to comply with Congress' oversight investigations is reminiscent of "a dictator," said House Judiciary Committee Chairman Jerrold Nadler.
"Every day, they are advertising their obstruction of justice by ignoring subpoenas and by declaring that people shouldn't come and speak to Congress," the House speaker said.
The move came after the attorney general failed to provide the committee with a response by the 9 a.m. Monday deadline set by Judiciary Chairman Jerrold Nadler, who issued a subpoena for the full Mueller report and its underlying evidence.
Rudy Giuliani said that House Judiciary Committee Chairman Jerrold Nadler should "get all the information" from the nearly two-year long investigation.
New York Representative Jerrold Nadler, who will likely chair the House Judiciary Committee if Democrats win the House in November, compared the deluge of accusations against Brett Kavanaugh to those directed at Harvey Weinstein.
More than 300,000 people have R.S.V.P.'d for more than 800 emergency "Nobody Is Above the Law" rallies across the U.S.
Report said McGahn tried to stop Jeff Sessions from recusing himself from the Russia investigation.
The likelihood of Trump facing impeachment also could rise if he fires Russia probe special counsel Robert Mueller.
"This is a critical time in our nation's history," Nadler said.
The "terrible things" that Rep. Jerrold Nadler referenced included the president's refusal to condemn white supremacy in Charlottesville, his "three-time push" for a travel ban impacting Muslims, a refusal to release tax returns and the circumstances surrounding the firing of James Comey, a spokesman said.