Speaker Mike Johnson is floating another short-term stopgap spending bill to head off a partial government shutdown at the end of the week, offering a temporary path out of a stalemate that has repeatedly threatened federal funding over the past six months.

His proposal would extend funding for some government agencies for a week, through March 8, and the rest for another two weeks, until March 22. It would be contingent on congressional leaders finalizing an emerging bipartisan agreement on six of the 12 annual spending bills.

And it would leave time for top lawmakers to negotiate the other six measures, and then try to pass the spending bills individually before the next set of deadlines to fund the government. That would be a tall order in the House, which has struggled to pass spending legislation amid Republican divisions.

Any stopgap bill “would be part of a larger agreement to finish a number of appropriations bills, ensuring adequate time for drafting text and for members to review prior to casting votes,” said Athina Lawson, a spokeswoman for Mr. Johnson.

Congressional leaders hoped to finalize the plan as early as Wednesday, leaving time for quick votes in both chambers before the midnight deadline on Friday. The details were reported earlier by Punchbowl News.

“We continue to make very good progress on an agreement, and we are very close to getting it done,” Senator Chuck Schumer, Democrat of New York and the majority leader, said on Wednesday morning. He added later, “I’m hopeful that the four leaders can reach this agreement very soon so we can not only avoid a shutdown on Friday, but get closer to finishing the appropriations process altogether.”