He is now being held in an Alexandria jail, after Jackson revoked his bail after prosecutors filed new charges alleging he was trying to tamper with witnesses while under house arrest.
Manafort faces numerous charges, including conspiracy to commit money laundering, making false statements and working as an unregistered agent of the government of Ukraine.
Prosecutors have not identified the witnesses and say they have not been publicly identified with the case.
Mueller is keeping the names of the witnesses undisclosed at this time so as not to create "risk of undue harassment" and because the details "could lead to reputational harm", according to a proposal from the prosecutors.
The immunity request also asked that the identity of the potential witnesses be kept under seal. It is the first arising from the investigation of special counsel Robert Mueller, who is examining potential coordination between Russian Federation and the Trump campaign.
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He sought to have his trial moved south to Roanoke, saying keeping it in the D.C. -area would threaten his ability to get a fair trial. "Such concern potentially would be heightened by the additional revelation that they have invoked their privilege against self-incrimination and may be granted immunity from the use against them of any compelled testimony".
Commenting on the request, Judge Ellis said: "Nationwide press coverage of defendant's trial will persist from now until the end of trial and perhaps beyond". The trial is set to begin July 25 in Alexandria, Va. Those people may be called on to testify during Paul Manafort's trial.
Manafort, 69, is accused of bank fraud and tax crimes in the Alexandria case.
He said there was no evidence that potential jurors in the region were politically biased, and that in any event, jurors' political leanings by themselves aren't evidence that they can't fairly consider a case.