At a White House meeting yesterday, Bush asked senior lawmakers to quickly pass the measure, which includes $63 billion for military operations in Iraq, without adding any money for their own priorities.
Bush's request for more money for the war has been eagerly awaited on Capitol Hill, where it is likely to intensify the debate over whether the country - already facing deficits this year in excess of $300 billion - can afford the president's new tax-cut plan.
Sen. Ted Stevens, the Alaska Republican who chairs the Appropriations Committee, said that Congress is likely to add to or modify the president's request for more money for the war.
"I think it may change a little," Stevens said yesterday. "We've got some suggestions."
One such proposal is likely to be an aid package for the airline industry.
Many lawmakers, including House Speaker J. Dennis Hastert, an Illinois Republican, had urged the administration to include such relief in the supplemental spending bill.
But Bush warned congressional leaders against piling more items onto the war funding bill.
"The entire supplemental is intended to be devoted to purposes stemming from this event - from the war," the senior administration official said. Bush is "very hopeful that Congress would not seize on this in an opportunistic way to fund unrelated things."
Wartime emergency spending measures tend to zoom through Congress with remarkable speed, pushed along by the political imperative of supporting the troops and the practical necessity of moving resources to the battlefield.
"We need to make certain that our men and women in uniform have the resources necessary to get the job done in Iraq, and I expect that both Republicans and Democrats will support this legislation by overwhelming margins," Hastert said.
But the first signs of partisan disagreement emerged yesterday, when congressional Democrats leveled a charge they have often made against Bush: that he is shortchanging homeland security needs.
Under Bush's supplemental proposal, the $3.5 billion for homeland security would pay for federal needs as well as aid states and localities, which would receive $2 billion in grants.
Rep. David R. Obey of Wisconsin, the senior Democrat on the Appropriations Committee, has estimated that there are $10 billion to $15 billion worth of immediate domestic anti-terrorism needs that are not being funded.