"We need great people coming into our Country!" the president said.
In his tweet, the president threatened Democrats to back him on a border wall and to gut the visa lottery. A battle over spending could also distract the Senate from confirming the president's Supreme Court nominee Bret Kavanaugh.
Trump faced immediate words of caution from top Republicans, including Rep. Steve Stivers of OH, who leads the National Republican Congressional Committee, which coordinates campaign efforts for House Republican candidates.
Trump made building a wall on the US-Mexican border a key pledge during his 2016 Presidential election campaign, claiming that drugs and criminals were entering America from Mexico.
It's the latest sign that the President's own party is learning to adapt - or simply ignore - Trump's sporadic legislative impulses.
"I don't like playing shutdown politics".
Speaking to reporters in the Capitol, Shelby said, "I'm hoping the idea of shutting down the government is not a serious thing and it goes away".
On the other side of the aisle, Rep.
Trump's declaration on Twitter surprised some lawmakers who have been eager to avoid a bruising funding fight and highlighted his intense desire to make progress on signature agenda items that have stalled.
Both chambers will have a short window to act before government funding expires at midnight September 30.
Standoffs over spending levels and immigration led to a three-day government shutdown, mostly over a weekend, in January and an hours-long shutdown in February.
Trump also doubled-down Sunday on defending his administration's tough immigration enforcement policies amid the ongoing controversy surrounding the since-scrapped zero tolerance policy that separated illegal immigrant children from their parents at the border.
As he continued to lobby for a border wall, Trump issued a new warning to migrants looking to illegally cross the Mexican border into the United States, saying they would face "consequences" even if they are accompanied by children.
He also repeated his attacks on immigration law itself, incorrectly asserting that "they want us to hire thousands of judges".
And while some construction has begun, it's to replace portions of the existing barrier.
During a government shutdown many non-essential Government agencies shut down, with their staff unable to come into work. They do, however, have the strength to derail legislation in the closely divided Senate.
McConnell, asked about a shutdown last week during a Kentucky radio interview, said it was not going to happen. "We have the worst immigration laws in the world", Mr. Trump said. He added that money for the wall was "not a question of if, it's a question of when".
In the past, Trump has requested as much as $25 billion for the wall.
House Republicans released a spending bill this month that would provide $5 billion next year to build Trump's wall, a plan Trump supports.
Funding Trump's controversial wall could paralyze budget talks.
This is not the first time that Donald Trump appeared to abandon the campaign promise that Mexico would be paying for the border wall.
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