Still, despite promising support building on the Republican side, some worried that fiscally conservative House Democrats would not support the bill's tax cuts that are not paid for in the budget.
On Wednesday, Bush heralded the Senate version of the bill, arguing that it's better than the one that failed to pass the House 228-205 on Monday.
"It's very important for members to take this bill very seriously," Bush said while meeting with NATO Cmdr. Gen. McKiernan in the Oval Office. "It's very important for us to pass this piece of legislation so as to stabilize the situation, so that it doesn't get worse and that our fellow citizens lose wealth and work. ... the bill is different. It's been improved."
ABC News' Kate Barrett and Dean Norland contributed to this report.