Quoted companies are subject to outside monitoring and scrutiny by the London Stock Exchange and the market.
But the military program is closed to outside monitoring, he said.
But Republicans remain strongly opposed to any move to impose outside monitoring.
Two other recent cases at Beth Israel prompted fines and led the Department of Health to call for the outside monitoring.
Details remain closely guarded and with the company privately held, there is no outside monitoring of its finances.
The Government has also fought successfully to keep mahogany off a list that would have subjected the licenses for logging it to outside monitoring and established targets to reduce exports.
Police Commissioner Raymond W. Kelly, who is to testify, has expressed reservations about outside monitoring.
But the agreement included no inventories of the stockpiles, no outside monitoring, no verification of any kind.
The President, who had rejected calls for outside monitoring of his police, said tonight that he "would not object" to foreign experts in this role.
Calling the conduct of the hearings "an advocacy presentation," he added, "I assume the commission has already reached a determination that some sort of outside monitoring is needed."