It is not known, however, what the testimony would specifically involve.
Dr. Menchel's key testimony involved the length of time Lisa Solomon was strangled and the intensity of the force used to kill her.
The ensign's testimony on Wednesday also involved a party and drinking.
The testimony involved words like "document shredding," "recusal" and "immunity," common in Congressional investigations but hardly ever used in everyday conversation.
But he said that immediately "it may be in the national interest" because of what testimony would actually involve.
Prosecutors contended any such testimony would involve hearsay statements.
His testimony involved 62 military and policemen, and thanks in part to this, Etchecolatz was sentenced to life imprisonment.
Some testimony involved Mr. Rison's killing of a guard in a Bronx robbery.
The most damaging testimony by Mr. Kopper involved what did not occur.