Airlines have softened their oppposition against the new House-Senate budget deal after winning some key concessions in the package.
The White House hasn't responded with a plan meeting those terms, he said.
House conservative Republicans say they have not lost faith in budget guru.
While some conservatives criticized it, deal has support from many.
Mike Lillis 12/11/13 11:43 AM EST
House Dems are using budget package to pressure GOP on jobless benefits.
Russell Berman 12/11/13 11:24 AM EST
Criticism of budget deal before it was released was "ridiculous," the Speaker said.
The influential conservative group said it will key vote against the "dubious" deal.
Rep. Tom Cole (R-Okla.) predicts the new budget deal reached Tuesday night will pass.
“My view is it will pass,” Cole said on CNBC’s “Squawk Box” on Wednesday.
“I’m sure it’s the best Paul could get,” Coburn said.
But budget agreement requires veterans under 62 to pay more into their retirement accounts.