The question for Republicans now is whether they can build a majority around this proposal, which some still view as too meager. They plan to allow open debate on amendments, which could add yet-more cuts to the package. But if conservative members see their amendments scuttled, they could band together and oppose the entire spending package, putting GOP leaders in a real bind.
I asked Rep. Pete Sessions (R-TX), a member of GOP leadership if he worries about that outcome.
"I would say that I do not see any group of people that are gathering together to do anything other than to pass this bill," he said.
Indeed, one such conservative, Steve King (R-IA), is rallying members to support a proposal to add drastic cuts to the health care law into the spending bill. He worries he may not be able to build a bloc large enough to force that issue.
"I think if there's an agreement on $100 billion in that room, it's taken some of the air out of the balloon," he told me on his way into the meeting. I'll have to see."