McCain’s comments came moments after Senate Majority Leader Harry ReidHarry ReidRepublican failure Senate about to enter 'nuclear option' death spiral Top GOP senator: 'Tragic mistake' if Democrats try to block Gorsuch MORE (D-Nev.) panned the House proposal, saying it wouldn’t pass in the Senate.

Senate leaders have negotiated a deal that would end the shutdown, fund the government through Jan. 15 and raise the debt ceiling until February. But House Republicans met Tuesday morning to discuss the deal and announced it would make modifications.

The House bill would delay ObamaCare's medical device tax and scrap healthcare subsidies for members of Congress and top Cabinet officials, among other provisions.

McCain suggested that the House pass its plan and the Senate pass its own and then the two chambers could go to conference to work out the differences.

“I believe it’s a good faith effort from the Speaker of the House,” McCain said. “Let’s stop the condemnation. Let’s consider the Republican House proposal as a serious proposal.”

The White House also rejected the House plan, saying the House leadership was trying to “appease” the Tea Party.