The special counsel prosecuting Paul Manafort is seeking to give immunity to five potential witnesses in advance of his trial in Alexandria federal court next week.
Mueller didn't identify the five witnesses in a court filing on Tuesday in federal court in Alexandria, Virginia.
On Tuesday, Mueller's office asked the judge in the Virginia trial to compel five potential witnesses to testify under a condition of immunity.
The motions are sealed, and the government will not reveal the names of the witnesses unless they are actually called to testify.
Judge T.S. Ellis decided against Manafort's request, writing, "the mere fact that a case has drawn substantial media attention does not, by itself, warrant a change in venue".
A handout photo made available by the Alexandria Virginia Sheriff's Office shows former Trump campaign chairman Paul Manafort mug shot, Alexandria, Virginia, USA (issued 12 July 2018).
He said it's clear that Mueller's team is targeting Trump and the people around him, and they're attempting to use Manafort to do so.
"Therefore, the proximity of defendant's pre-trial publicity to the start of his trial will be the same in Alexandria as it would be in Roanoke or Kansas City or Dallas".
Mr Manafort also faces a second trial on fraud and money laundering charges which is scheduled to take place in Washington DC in September.
Ellis noted that the area has a population of 3,000,000, and "jurors' political leanings are not, by themselves, evidence that those jurors can not fairly and impartially consider the evidence presented and apply the law as instructed by the Court".
He said: "It would be inappropriate for courts to move trials around the country in cases of this sort until a district could be found where a defendant's political views were shared by at least as many persons in the district as those with contrary views".