WASHINGTON — Senate Majority Leader Mitch McConnell said the Senate will take up a short-term measure Wednesday to fund the federal government through Feb. 8, a move that eases the risk of a shutdown and comes only after President Donald Trump backed off his demand for border wall funds.

McConnell opened the Senate saying it was a “simple” bill but will show that Republicans, who have majority control of Congress, will finish the year by governing rather that prolonging a potential crisis.

“Republicans will continue to fill our duty to govern,” McConnell said. “We can continue this vital debate after the new Congress has convened.”

The swift turn of events came after Trump moved off his demand for $5 billion for a U.S.-Mexico border wall. But facing criticism from supporters, Trump continued to argue Wednesday the wall would be built.

Trump has not said that he would sign such a temporary measure. But White House counselor Kellyanne Conway signaled Wednesday that he may consider it, saying “he’ll take a look at that certainly.”

On Twitter, Trump appeared to respond to criticism Wednesday that he was backing down, insisting that “One way or the other, we will win on the Wall!”

Trump also argued that Mexico will pay “indirectly” for the wall because the terms of a new trade deal will boost U.S. revenue. But that outcome is not assured and is not the same as his campaign promise that Mexico would pay for the wall, which the country has refused to do.

The White House shifted its rhetoric this week after days of impasse leading up to a potential partial government shutdown.

Just last week, Trump said he would be “proud” to shut the government down over the wall.

Without a resolution, more than 800,000 government workers could be furloughed or sent to work without pay beginning at midnight Friday, disrupting government operations days before Christmas.

Press secretary Sarah Huckabee Sanders indicated that Trump doesn’t want to shut down the government and said the administration was looking at ways to find the money elsewhere.

The stopgap measure would simply approve government funding at existing levels, without a boost for the border. The chairman of the Appropriations Committee, Sen. Richard Shelby, R-Ala., confirmed late Tuesday his office was preparing legislation to keep the government funded.

Should a short-term resolution be reached, the border funding fight would be punted to the new year and the next Congress, which could prove even more difficult for Trump with a Democratic-led House.

For now, Sanders told reporters that the White House wants “to know what can pass.” She also said the Republican president “has asked every agency to look and see if they have money that can be used.”

The turn of events kick-started negotiations that had been almost nonexistent since last week’s televised meeting at the White House, when Trump neither accepted nor rejected the Democrats’ offer. They had proposed keeping funding at current levels of $1.3 billion for border security fencing and other improvements but not for the wall.

The Senate’s top Republican and Democratic leaders began negotiating new proposals, and talks had been expected to continue.

McConnell said he was confident there would not be a government shutdown. McConnell said a stopgap measure could be approved, though he suggested that House Minority Leader Nancy Pelosi, who is poised to become House speaker when the Democrats take control Jan. 3, would not want to saddle the new year with a budget brawl.

“If I were in her shoes, I would rather not be dealing with this year’s business next year,” McConnell said.

Pelosi and Senate Minority Leader Chuck Schumer have made it clear they are not interested in funding Trump’s border wall.

During a meeting earlier Tuesday on Capitol Hill, McConnell had proposed $1.6 billion for border fencing, as outlined in a bipartisan Senate bill, plus an additional $1 billion that Trump could use on the border, according to a senior Democratic aide unauthorized to speak about the private meeting.

Democratic leaders immediately spurned the proposal. Schumer called McConnell to reject it.

“We cannot accept the offer they made of a billion-dollar slush fund for the president to implement his very wrong immigration policies,” Pelosi told reporters. “So that won’t happen.”

Democrats also rejected the administration’s idea of shifting money from other accounts to pay for Trump’s wall. Schumer said there will be no wall money, “plain and simple.”

Pelosi will probably be able to quickly approve a longer-term measure to keep government running in the new year. She called it a “good sign” that the White House appeared to be backing off its demands.

The White House showed its willingness to budge as it became apparent the president does not have support in Congress for funding the wall at the $5 billion level. Sanders said Tuesday there are “other ways” to secure the funding.

“At the end of the day, we don’t want to shut down the government,” Sanders said on Fox News Channel. “We want to shut down the border from illegal immigration.”

Sanders pointed to the Senate’s bipartisan appropriation measure for the Department of Homeland Security, which provides $26 billion, including $1.6 billion for fencing and other barriers. It was approved by the committee in summer on a bipartisan vote.

“That’s something that we would be able to support,” she said, as long as it’s coupled with other funding.

But House Democrats largely reject the Senate’s bill because it includes 65 miles (105 kilometers) of additional fencing along the Rio Grande Valley in Texas.

It’s unclear how many House Republicans, with just a few weeks left in the majority before relinquishing power to House Democrats, will even show up midweek for possible votes. Many Republicans say it’s up to Trump and Democrats to cut a deal.

The standoff dispute could affect nine of 15 Cabinet-level departments and dozens of agencies, including the departments of Homeland Security, Transportation, Interior, Agriculture, State and Justice, as well as national parks and forests.

Shelby expected the stopgap measure, which would cover the seven appropriation bills for those departments, would pass.

“Who would want to shut the government down?” he said.

Congress did pass legislation to fund much of the government through the fiscal year, until Oct. 1. But a partial shutdown would occur at midnight Friday on the remaining one-fourth of the government.

About half the workers would be forced to continue working without immediate pay. Others would be sent home. Congress often approves their pay retroactively, even if they were ordered to stay home.

Many agencies, including the Pentagon and the departments of Veterans Affairs and Health and Human Services, are already funded for the year and will continue to operate as usual. The U.S. Postal Service, busy delivering packages for the holiday season, wouldn’t be affected by any government shutdown because it’s an independent agency.

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