WASHINGTON — Coming out of a closed-door meeting Wednesday afternoon, in which Speaker John A. Boehner explained to his conference that he would be taking up the Senate deal and likely passing it with the help of Democratic votes, Republican lawmakers were already regrouping for the next fight.

“I’ll vote against it,” Representative John Fleming of Louisiana said. “But that will get us into Round 2. See, we’re going to start this all over again.”

But the next time around, Republicans are also hoping for a better outcome.

“If we get past tomorrow, we can all take a deep breath and basically refocus — knowing we have January out there — and refocus on trying to get some big things,” said Representative Adam Kinzinger of Illinois. “I’m not overly optimistic, but it’s a better position than we are today.”

Mr. Kinzinger said that Mr. Boehner had delivered a similar message. “Look, we’ve got move forward here,” he said, recounting Mr. Boehner’s pitch. “The fight’s not over. Everybody knows we’re against the health care bill. Now the health care bill is going to be front and center once we get past this, and we can see if it’s successful or if it’s not, but this isn’t the end of the fight.”

Earlier in the day, Representative Raúl R. Labrador of Idaho had criticized the Republican leadership team for combining the fight to finance the government — and, later, to reopen the government — with the fight over the debt ceiling. Republicans, he said, were unlikely to stand strong in their efforts to defund the health care law when faced with the risk of potentially devastating debt default.

Now, with the government poised to reopen and default pushed down the road, the hope among Republicans is that they can refocus on the issues most important to them — the effort to chip away at the Affordable Care Act and to enact spending cuts.

“ I think there are battles to be had,” said Representative Trey Gowdy of South Carolina.

The mood at the meeting was described as upbeat — or at least as positive as could be expected for a group that knew that knew the fight had been lost.

“The speaker did his best to reassure the troops,” Representative Blake Farenthold of Texas said. “It’s the classic ‘we’ll live to fight another day.’ ”

Even the most hard-line conservatives — those who had refused to compromise and pushed their leadership farther to the right — were pleased with Mr. Boehner and his team.

“I’m very proud of our leadership,” Mr. Fleming said. “I didn’t think they would hang in there two weeks, and so I’m very proud that they did that. So I’m head over heels in jubilee over what they’ve done, how hard they’ve tried.”