House Speaker John Boehner (R-Ohio) said Friday that he would push for a continuing resolution in the House next week that would fund the government beyond March 27 and avert a potential government shutdown.

"I did lay out that the House is going to move a continuing resolution next week to fund the government past March 27," Boehner said after a meeting at the White House on the sequester, which yielded no agreement. "And I'm hopeful that we won't have to deal with the threat of a government shutdown while we're dealing with the sequester at the same time. The House will act next week, and I hope the Senate will follow suit."

There has been some thought that Congress could craft a sequester replacement bill during it's debate over the funding of the government this month -- and that the looming shutdown could actually force Congress to act on the sequester.

But President Obama said during his press conference that he would also like to see a continuing resolution and that he won't require Congress to address the sequester in it.

"I think it’s the right thing to do to make sure that we don’t have a government shutdown," Obama said. "And that’s preventable."

But conservatives are already balking at Boehner's move. The Club for Growth says it will likely oppose the CR unless it contains language that would de-fund Obama's health care bill. That seems unlikely, and it would basically make the CR dead-on-arrival in the Senate.

Updated at 2:11 p.m.