House Minority Whip Steny HoyerSteny Hamilton HoyerPelosi, Dems hammer GOP for ‘derailing’ DACA debate Hoyer warns GOP: Don’t dabble with DACA compromise bill Dem House candidate gets pepper sprayed in the face in campaign ad MORE (D-Md.) predicted Wednesday that the House would fail to approve any appropriations bills that fit within the constraints of the budget released by Budget Committee Chairman Paul RyanPaul Davis RyanWhite House faces growing outcry over migrant family policies John Legend slams Paul Ryan for Father's Day tweet, demands end to family separation Trump faces Father’s Day pleas to end separations of migrant families MORE (R-Wis.).

"The Appropriations Committee ... will not bring appropriation bills to the floor that will pass on this floor that will implement the Ryan budget," Hoyer said.

Hoyer added that Republicans had trouble passing spending bills last year under Ryan's prior budget.

"As a matter of fact, no bills passed this House at the Ryan budget numbers last year. None, not one," he said. "Sadly, I think that's what's going to happen this year."

Republicans rejected that assertion today. GOP aides noted that Ryan's budget last year set a total discretionary spending level of $986 billion, and that using that number, the House passed four spending bills dealing with defense, energy and water, homeland security and military construction.

But it did become increasingly difficult to pass additional bills beyond those four. Because Republicans allowed expanded military spending, other budgets had to be cut, which led to complaints even from some Republicans about the need for more funding.

Republicans ultimately had to pull the next bill that would have funded the Departments of Transportation and Housing and Urban Development.

Despite Hoyer's prediction for this year, the House seems likely to make some progress passing fiscal 2015 spending bills that comply with Ryan's budget. Ryan's proposal calls for $1.014 trillion in discretionary spending in 2015, which is consistent with the bipartisan two-year budget deal agreed to earlier this year.

That level is slightly higher than the $1.012 trillion agreed to for 2014.

After that, however, Ryan's budget calls for a cut to non-defense discretionary spending in 2016 and 2017, and then allows only minimal growth in the following years.

Ryan's budget proposes a total of $5.1 trillion in cuts to planned government spending over the next decade, but still calls for increases in government spending each year. Total outlays would rise from $3.664 trillion in 2015 to $4.995 trillion in 2024.