Washington (CNN) - Now that House Speaker John Boehner has unveiled his proposal to cut about $3 trillion in spending and raise the debt limit, his task is to round up the votes to pass it in the House later this week, but conservative skepticism of the plan could make that a heavy lift.
Ohio Republican Rep. Jim Jordan, who heads up a large group of fiscal conservatives in the House, came out against the plan Monday.
"While I thank the Speaker for fighting for Republican principles, I cannot support the plan that was presented to House Republicans this afternoon," Jordan said in a written statement.
In addition to Jordan, 38 other House Republicans have signed a pledge that they would not vote to raise the debt ceiling if it didn't adhere to the principles in the "Cut, Cap, and Balance" bill that passed the House last week. Boehner admitted his plan is "built on the principles" of that plan, but doesn't go as far as that bill would.
Rep. Jeff Flake, R-Arizona, said he's still undecided on Boehner's plan, but said, "some of the details are troublesome."
Asked what he thinks of the idea of a joint committee created to come up with $1.6-1.8 trillion in deficit reduction later this year, Flake put his hand in his mouth, as though he was going to gag. "How many commissions have we had? Come on. That's not a solution," he said.
Another conservative, New Jersey Republican Scott Garrett said he's waiting to read the bill, but emphasized he wants to see more cuts sooner.
House Republicans have been pushing for significant and immediate cuts, but the way the Boehner proposal is structured, while it would cut $1.2 trillion over 10 years, the cuts in the first year would amount to a $24 billion reduction in non-defense discretionary spending.
The initial figure for the first year's cuts "may be problematic, so we'd like to see whether that can be plussed up," Garrett said.
But it appears the major problem House conservatives have with Boehner's plan is that a central part of their "Cut, Cap, and Balance" plan - a requirement that Congress pass a balanced budget amendment before raising the debt ceiling - is not in the bill. Boehner's plan requires that both the House and Senate vote on an amendment before the end of the year, but doesn't mandate that it must pass.
Several of these conservatives said they would continue to insist the plan require passage of a balanced budget amendment. Flake predicted if it were included in the House GOP bill, it could gain support from conservatives, who view that amendment as the key enforcement mechanism for ensuring significant spending cuts actually happen in the future.
Complicating Boehner's task is his margin for error could be low if the solid wall of Democratic opposition holds up. The bill needs 217 votes to pass, so House Republican leaders can only afford to lose roughly 23 Republicans.
Number two House Democrat Steny Hoyer told reporters he's already working to solidify Democratic opposition to the bill. And several Democratic congressional aides said House Democratic leaders are aggressively pushing their members to stand united on Wednesday against House GOP plan, arguing it puts more pressure on Boehner to pass it with largely, if not all, Republican votes.
Boehner, in his rebuttal to the president, predicted the House would pass the measure this week.
House Democratic caucus Chairman John Larson told reporters all the members who attended Monday night's Democratic caucus meeting oppose the plan.
"A supermajority of the caucus is opposed," Larson said. There were five Democratic defections on the GOP's "Cut, Cap, and Balance" plan, and while Larson couldn't guarantee those fiscally conservative Blue Dog Democrats would oppose the new House GOP bill, said he believes once they review the details, it would be hard for them to support it.
One encouraging sign for Boehner - one of the most vocal House conservative voices, freshman Republican Allen West of Florida, told reporters he's supportive. He sent a message out via Twitter on Monday evening, saying "I will support the new debt deal- it has enough of what I need including no tax hikes, spending caps and a step toward a balanced budget."
Oklahoma Republican Tom Cole complimented Boehner's handling of the debt negotiations, noting this was his 10th vote on the debt ceiling and the first time the debate focused on spending cuts. On the vote on the new GOP plan Cole argued, "It's a test for the Republican conference, not for the Speaker, if we don't [pass the bill] shame on us, not shame on John Boehner."