"Another 10 to 12" wanted men have moved into Tulkarm "to seek immunity," he said.
In addition, the defense sought immunity from prosecution for several people so they may testify for the defense.
A grand jury has broad powers to seek evidence, subpoena witnesses and seek immunity to individuals who may have knowledge of a case.
Mr. Clinton is seeking not immunity from liability, but a delay in the proceedings, based on the burdens of office.
Seeking immunity has become standard practice for foreign museum objects being exhibited in the United States.
His lawyers have not sought immunity for the testimony, Mr. Dorgan said.
It also seeks immunity from war crimes charges for any soldiers or officials interviewed.
He also says that more are currently seeking immunity in London and Rome.
But they said they would not seek additional immunity from antitrust laws.
But, the statement added, media companies cannot seek immunity from criminal investigations.