Republicans now hold 51 seats in the Senate, and the nuclear option would allow them to pass the bill without needing a single Democratic vote. "The Republican majority now has 17 days to prevent the DREAMers from being deported", he said.
McConnell reiterated Monday morning that he would move to vote on an immigration bill if the two sides can't agree to one by February 8, as long as the government is still fully open.
The Senate scheduled a vote Monday to advance a bill that would extend government funding through February 8. Kamala Harris, Calif., one 16 Democrats who voted to block the bill. The scene highlighted the political stakes for both parties in an election-year shutdown whose consequences are far from clear.
Trump spent the morning in the residence of the White House, following coverage of the shutdown and speaking with Republican leaders on the phone, a senior administration official said. "As soon as that is done, we're more than happy to negotiate on responsible immigration reform", she said.
"We have yet to reach an agreement on a path forward that would be agreeable to both sides", said Democratic leader Chuck Schumer.
Notably, numerous Senate Democrats who voted against the funding agreement included a litany of potential 2020 presidential candidates, including Kamala Harris, Bernie Sanders, Kirsten Gillibrand and Elizabeth Warren.
Feinstein said she wasn't persuaded by McConnell's assurances and did not know how a proposal to protect the more than 700,000 younger immigrants would fare in the House.
"If we learned anything during this process, it's that a strategy to shut down the government over an issue of illegal immigration is something the American people didn't understand", Senate Majority Leader Mitch McConnell, R-Ky., said Monday before the Senate voted to advance the short-term spending bill.
Since Democratic votes are needed in the Senate to pass spending bills, they are in a position to make demands on immigration before signing off on such a spending increase.
McConnell delivered a carefully worded speech on the Senate floor, stating that it was his "intention" to address the dreamer issue, whether in the next spending bill or thereafter.
On Sunday night, Democrats appeared to be holding out for a firmer commitment from McConnell.
USA stocks advanced on Monday as each of Wall Street's main indexes touched a record intraday level after the shutdown deal.
Democrats made a decision to end the three-day shutdown after making progress with ruling Republicans toward securing the fate of hundreds of thousands of so-called "Dreamers" brought to America as children, many of them illegally.
For Republicans, it was essential to isolate immigration as an issue, with the hope of gaining more leverage by dragging it closer to a March deadline on DACA and forcing Democrats to give up their budget negotiating power in fear of the ramifications of a shutdown perceived as just about immigration.
The Republican president took a new swipe at Democrats as he celebrated. "This is his shutdown", Dick Durbin, the second ranking Democrat in the Senate, said on the CBS "Face the Nation" program. They can't get what they want.
Trump's first tweet appeared to undercut comments by his legislative affairs director, Marc Short, who told CNN that the immigrants in question are law-abiding and "productive to our society".
Twitter user @dparkermontana said, "That's not governing by mature adults". He lost four of his Republican colleagues in that last vote, meaning he didn't even have a simple majority to avert the shutdown. "We will make a long-term deal on immigration if, and only if, it is good for our country", Trump said.
In fact, Trump, who regularly disrupted negotiations in recent weeks, had been a relatively subdued player in the weekend debate.
Mr Schumer met the President on Friday afternoon.
Amid the hard and sensitive talks to reopen the government, Trump's campaign on Saturday released a 30-second advertisement on immigration that was posted on YouTube.