On Saturday, Mr. Trump lashed out at the Justice Department for missing a deadline set by the Judiciary Committee to turn over the documents. The panel is seeking, in addition to the Clinton papers, a report being finalized by the Justice Department’s inspector general that led to the firing of Andrew G. McCabe, the deputy director of the F.B.I.
“What does the Department of Justice and FBI have to hide? Why aren’t they giving the strongly requested documents (unredacted) to the HOUSE JUDICIARY COMMITTEE?,” Mr. Trump wrote. “Stalling, but for what reason? Not looking good!”
The committee’s chairman, Representative Robert W. Goodlatte of Virginia, subpoenaed the Justice Department last month for the documents, setting a deadline of last Thursday.
When the department did not turn over the papers by that deadline, Republican lawmakers were quick to express their displeasure. “This is unacceptable — it’s time to stop the games,” Representative Mark Meadows of North Carolina said on Twitter.
The federal prosecutor who will now oversee the process, John Lausch, will report directly to Mr. Sessions. Mr. Lausch was appointed to his prosecutor post by Mr. Trump.
As a United States attorney in Illinois, Mr. Lausch has worked far away from the Justice Department prosecutors and investigators in Washington who have endured a barrage of attacks on their integrity by Mr. Trump as the F.B.I. examines ties between his campaign and Russia.
“By appointing Mr. Lausch to oversee this specific document production, our goal is to assure Congress, the president and the American people that the F.B.I. is going to produce the relevant documents and will do so completely and with integrity and professionalism,” Ms. Flores said in a statement.
The Judiciary Committee is seeking documents that the Justice Department’s inspector general, Michael E. Horowitz, has gathered as he compiles a report on the conduct of department officials during the presidential campaign.
At the time, it was investigating both Mrs. Clinton’s handling of classified information while she was secretary of state and any ties between the Trump campaign and Russia. Mr. Trump has claimed that department officials abused their powers by spying on a campaign official, a charge that Democrats have forcefully rebutted.
Mr. Sessions and the current F.B.I. director, Christopher A. Wray, have said that the number of F.B.I. staff members working on the document request has been doubled to 54 people, who are working in two shifts a day, from 8 a.m. to midnight. This week, the F.B.I. is set to turn over another batch of documents to the committee.