There's no limit to how much House Republicans could seek in spending cuts, Speaker John Boehner (R-Ohio) said Sunday.

Boehner, the leader of the cut-hungry GOP in the House, said that lawmakers would seek cuts down to 2008 spending levels at the very least, and could further slash money from the budget in the coming weeks.

"There's no limit to the amount of spending we're willing to cut," Boehner said on "Fox News Sunday" this morning. "The American people want us to cut spending; they don't want more stimulus spending."

The GOP Speaker expressed dissatisfaction with President Obama's State of the Union address from this past Tuesday, in which Obama called for a five-year freeze in domestic discretionary spending, coupled with new investments in education, research, technology and infrastructure.

"The other night, all he did was call for more stimulus spending," Boehner responded.

The Speaker and his counterpart in the Senate, Minority Leader Mitch McConnell (R-Ky.), have rejected the president's proposed freeze as inadequate, and signaled that they'll press ahead seeking cuts.

Boehner's on the record as favoring a rollback in the budget to 2008 levels, a move that would save between $50 billion and $60 billion this fiscal year. But there are a variety of proposals in the House that would seek even deeper cuts; the conservative Republican Study Committee (RSC) has proposed a series of reductions that would save $2.5 trillion over the next decade.

The Speaker said he expected the House Appropriations Committee to release an initial draft of its 2008 budget "in the next 10 days or so," which the House will then consider in what Boehner has pledged will be an "open process," allowing amendments and debate on both sides.