President Trump urged the Senate on Wednesday to pass a comprehensive immigration bill introduced this week by Republican Sen. Chuck Grassley, claiming the legislation goes beyond a "short-term 'Band-Aid' approach."

"The Grassley bill accomplishes the four pillars of the White House Framework: a lasting solution on DACA, ending chain migration, cancelling the visa lottery, and securing the border through building the wall and closing legal loopholes," Trump said in a statement.

"I am asking all senators, in both parties, to support the Grassley bill and to oppose any legislation that fails to fulfill these four pillars — that includes opposing any short-term 'Band-Aid' approach," he continued. "The overwhelming majority of American voters support a plan that fulfills the Framework's four pillars, which moves us towards the safe, modern, and lawful immigration system our people deserve."

Trump's endorsement of the Iowa Republican's legislation comes as the Senate enters its second day debating immigration, border security, and the fate of the Deferred Action for Childhood Arrivals program, which was set to expire on March 5 but has been delayed while several lawsuits make their way through the courts.

Senate Majority Leader Mitch McConnell, R-Ky., agreed to allow up-or-down votes on amendments from Democrats and Republicans with the hope that the upper chamber might reach a deal that could garner 60 votes and make its way to the House.

"I'm ready to get started. This is the debate they said they wanted," McConnell told reporters on Tuesday, after his Democratic counterpart rejected an attempt to start the debate by voting on a proposal from Republican Sen. Pat Toomey.

Trump also said Wednesday he's been "encouraged" to see the House "moving toward advancing legislation from Chairmen [Bob] Goodlatte and [Michael] McCaul that also enshrines our four pillars." House Speaker Paul Ryan, R-Wis., has agreed to allow a floor vote on their bill, called the "Securing America's Future Act," by the end of the month.