Carney said "generally speaking" the White House has been "pleased" by Congress's willingness to fund disaster relief efforts in the past.
"The president has made clear that we will make sure Oklahoma has the resources that it needs, including the resources that have already been announced," he said.
But the White House looked to stay out of a brewing controversy on Capitol Hill over whether additional tornado damage would be offset by other spending cuts.
"It is too early to assess what kind of needs there will be as Oklahoma moves from the immediate recovery to assessing the long term damage," Carney added.
Read more on Obama's response to the disaster in Oklahoma.