Senate conservatives pushing for a continuing resolution to defund Obamacare have the support of Republican leadership in the House and Senate.

"He is a co-sponsor of legislation to defund Obamacare and supports the House effort," Don Stewart, a spokesman for Senate Minority Leader Mitch McConnell, R-Ky., told the Washington Examiner.

House Speaker John Boehner, R-Ohio, announced Wednesday that the House would vote on the anti-Obamacare spending bill.

"This week, the House will pass a CR that locks the sequester savings in and defunds Obamacare," Boehner told reporters. "The president has passed seven bills over the last two and a half years to make changes to Obamacare, and I sincerely hope our friends in the Senate make this the eighth time."

A unified Senate Republican conference puts pressure on Senate Majority Leader Harry Reid, D-Nev., and the red-state Democrats who face reelection in 2014, proponents of the defunding measure believe.

"It's going to create a very difficult vote for red-state Democrats," an aide to one of the senators who led the push for the defunding measure, speaking on condition of anonymity, told the Washington Examiner.

"At the end of the day, there will be a vote to support defunding or to oppose it, and Harry Reid is going to force his members to vote his way, and then we're going to have those votes. We're going to have the votes from [Alaska Democratic Senator Mark] Begich and from Kay Hagan, [D-N.C.] and from Pryor [D-Ark.] that are voting to shut down the government in order to protect Obamacare. So, we're going to win something out of this," he said.