House Majority Leader Eric Cantor announced Tuesday that the House would vote this week on a stopgap government spending bill, along with a provision that would force the Senate to consider whether the president’s signature health care law should be funded.

“We will send to the Senate the provision which says, ‘Up or down – are you for defunding Obamacare or not?’ The House has taken a stand numerous times. … It’s time for the Senate to stand up and tell their constituents where they stand on this atrocity of a law,” said Cantor, R-Va.

House Speaker John Boehner, R-Ohio, added: “That's where the issue is, the United States Senate. Let's get the issue over there and force them to actually have a vote on getting rid of Obamacare.”

Conservative advocacy groups are pushing Republicans to defund Obamacare in the must-pass budget bill. If Democrats refused to defund Obamacare and killed the budget bill, the federal government could shut down Oct. 1.

"Our goal here is not to shut down the government. Our goal is to cut spending and to stop Obamacare,” Boehner said Tuesday. "I believe the strategy that was outlined to the members this morning accomplished that.”