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House Republicans have said they won’t begin to write a counteroffer until the Senate passes a bill, which is why the timing of a Senate vote matters.

Adding to the drama is a silence between Mr. Reid and Mr. Boehner, who haven’t spoken for days.

Mr. Reid told reporters that he doesn’t see any need to talk because Senate Democrats have made it clear that they will not negotiate and will accept nothing but a “clean” continuing resolution and debt ceiling deal.

“There’s no need for conversation. We’ve spoken loudly and clearly and we have the support of the president,” Mr. Reid said.

Mr. Boehner, though, was just as adamant that conditions must be attached to any final bill. He said a “clean” continuing resolution, or “CR” in Capitol Hill-speak, cannot clear the House.

But there was one area of agreement — House Republicans said they wanted the Senate to vote sooner rather than later.

“I want to see the CR matter completed as quickly as we can to get on then with the debt ceiling because the time is running out, so we’ve got two major time deadlines we’re struggling with here,” said House Appropriations Committee Chairman Harold Rogers, Kentucky Republican. “It’s important to get the CR over with as soon as we can.”

Despite Mr. Boehner’s insistence that a clean continuing resolution will not pass the House, one House Democrat said he thinks the Republicans are warming to the idea.

“I feel like the appetite is rising to accept the Senate CR quickly when it gets over here,” Rep. Robert E. Andrews, New Jersey Democrat, told reporters Thursday afternoon.

Mr. Andrews said that the “mature reality” is that nothing but the Senate continuing resolution will be able to get the 218 votes required to pass the House.

He also said Republicans can return to their constituents and say they tried their best to defund Obamacare and may get another opportunity in the fight over raising the debt limit.

Indeed, House Republicans are considering a list of conditions that they will attach to the debt bill, including construction of the Keystone XL pipeline, limits on malpractice lawsuits, and a one-year delay of the health care law.

“The president says, ‘I’m not going to negotiate.’ Well, I’m sorry, but it just doesn’t work that way,” Mr. Boehner said.