The exchange came shortly after House Judiciary Committee chairman Jerrold Nadler threatened to hold Mr Barr in contempt of Congress if he did not provide a full, unredacted copy of Mr Mueller's findings. "And, yes, we will have no choice but to move quickly to hold the attorney general in contempt if he stalls or fails to negotiate in good faith".
Trump said it will be up to Barr to decide whether Special Counsel Robert Mueller, author of the report on Russian interference in the 2016 US election, will testify to the Senate Judiciary Committee, which wants to hear from him.
Justice Department spokeswoman Kerri Kupec called Pelosi's allegation "reckless, irresponsible and false".
Graham wrote in his letter to Mueller that, "In response to questions by Senator Blumenthal, the Attorney General testified in essence that you told him in a phone call that you did not challenge the accuracy of the Attorney General's summary of your report's principal conclusions, but rather you wanted more of the report, particularly the executive summaries concerning obstruction of justice, to be released promptly".
White House lawyer Emmet Flood outlined his concerns in a letter to Attorney General William Barr last month, which was made public on Thursday.
Barr, speaking before the Senate Judiciary Committee this week, said he had a 15-minute phone call with Mueller after the special counsel sent the letter. Barr failed to mention a March 27 letter he got from Mueller complaining that Barr's March 24 account did not "fully capture the context, nature and substance of this Office's work".
Nadler has asked DOJ to make the more complete version of the Mueller report available to "all members".
The Department of Justice has said a version of the Mueller report that has fewer redactions than the publicly available document is now available for viewing by members in congressional leadership, including Nadler. (Imagine a whole day of Kamala Harris-typed questions.) That in turn provoked Judiciary Chairman Rep.
Nadler, however, asks Barr to reconsider his refusal to let members of Congress view the redacted grand jury material in the report.
On Thursday, House Speaker Nancy Pelosi accused Barr of lying to Congress. He said Mueller "was very clear with me that he was not suggesting that we had misrepresented his report". But the Justice Department has resisted, saying the subpoena does not constitute legitimate oversight and describing its demands as "overbroad and extraordinarily burdensome". Lindsey Graham and Collins, the ranking Republican on Nadler's panel.