Senate Majority Leader John Thune (R-SD) said Tuesday that he’s hopeful that the war in Iran is close to winding down, in advance of a deadline that could require congressional action for the war to continue.

Under the War Powers Act, unilateral military action undertaken by the president without congressional authority is limited to 60 days — with a 30-day extension for draw-down purposes.

Thune emphasized that the administration’s current goal is to reopen the Strait of Hormuz, and that Senate Republicans support efforts to isolate the Iranian regime and their economy.

“We get the strait open again — and that’s sort of their last resort. The military effort here has been extraordinarily successful. This is sort of the last dying gasp of this regime, is to try and shut down the strait,” Thune said in a press conference after a GOP conference meeting. “The administration is making an effort to ensure that it’s open, that there’ll be traffic in and out there. And hopefully that will be successful and we can begin to see this thing wind down.”

Pressed on whether Republicans would be open to voting to continue the war if it extends beyond 90 days, Thune suggested that wouldn’t be necessary.

“At this point, most of us, I believe, feel pretty good about what the American military has achieved there in terms of its objectives,” Thune said. “It’s a hypothetical down the road. … I think the administration has a clear objective, a clear plan, and if they can execute on it, hopefully that question won’t be a necessary one that we’ll have to answer.”

Sen. Mike Rounds (R-SD) said that it’s “not quite time” yet for a full Senate discussion on the war, but said that he does want to see the administration more fully lay out its strategy and plan as the war continues and approaches the 60-day deadline at the end of April.

“We do expect that the administration will be laying out their plan for after the end of seven, eight, nine weeks,” Rounds said. “We have to know what the next steps are, and that’s part of our due diligence that we have to do.”

Sen. Steve Daines (R-MT) said that Republicans did not discuss the possibility of an authorization for the war during their meeting.

Other Republicans have argued that the provision of the War Powers Act that sets out the 60-day deadline, is not enforceable and that Republicans on Capitol Hill are not paying attention to it.

Sen. Lindsey Graham (R-SC) said that the U.S. should “finish the job” rather than extending a ceasefire agreement with Iran if the regime is not willing to agree to U.S. demands, including a permanent end to nuclear enrichment, surrendering all of its already enriched uranium, fully reopening the strait and abandoning its ballistic missile program and support for terrorism.

Senate Minority Leader Chuck Schumer (D-NY) said that Senate Democrats plan to bring forward another war powers resolution to stop the war on Wednesday, and will continue to force votes on similar resolutions weekly until the war ends. For now, most Republicans seem likely to continue to vote against the legislation.

Senate Republicans also indicated that they’re not likely to attempt to include supplemental funding for the Iran war in an upcoming partisan budget reconciliation package, which is focused on border security and immigration funding currently being blocked by Democrats.

Thune, who has said he wants an “anorexic-like” reconciliation package, again indicated on Tuesday at a press conference after a Senate Republican lunch meeting that the package will be tightly “focused” to fund immigration enforcement.

“I think we’re going to do a very skinny reconciliation,” Sen. Roger Wicker (R-MS), the chair of the Senate Armed Services Committee, said when asked about Republicans’ discussions on Iran during the conference meeting.

Sen. John Kennedy (R-LA) said that he has not heard anything about either the timing or the size of the supplemental request the administration plans to submit. Initial reports indicated that the Pentagon wanted to ask for $200 billion, but more recent reports have indicated that the final request will be lower.

Republicans have discussed advancing another reconciliation package before the end of the year, though some members of the conference, like Kennedy, have openly expressed skepticism that such an effort would be possible.

At this point, given the strong and widespread opposition among Democrats to the war in Iran, it’s unclear whether a funding package for the war would be able to clear the 60-vote filibuster threshold necessary for passage in the Senate.