Trump told reporters, "It's gonna happen at some point in the future, over a period of 10-12 years".
But immediately after Trump spoke, a senior White House official stressed the idea of a pathway to citizenship so-called Dreamers was just a "discussion point" in the plan that the White House meant to preview to the House and Senate later Wednesday.
The White House said earlier on Wednesday that it would unveil a framework for immigration legislation that it believes can pass muster with both Republicans and Democrats in the US Congress, hoping to resolve the long stand-off over the fate of Dreamers that contributed to the brief government shutdown this week.
The plan will propose border security measures, closing loopholes, ending so-called chain migration, canceling the visa lottery program and legalizing the Deferred Action for Childhood Arrivals, or DACA, program, she added.
Trump so far has rejected bipartisan proposals to continue DACA, leading to the standoff between Republicans and Democrats in the Senate that resulted in a three-day government shutdown that ended on Monday. But without a deal on immigration by February 8, the federal government could be in for another shutdown.
The framework to be unveiled Monday "represents a compromise that members of both parties can support", spokeswoman Sarah Huckabee Sanders said, as the White House appeared to try to take control of the process. He also reiterated that the wall would be roughly 800 miles of new construction plus other replacement fencing and wall, and that it would not have to go anywhere natural barriers existed, like mountains and rivers.
Trump has consistently said any agreement to replace DACA has to include new measures to crack down on what he considers bad immigration policies.
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The investigation is ongoing and more information in the case will be shared as becomes available, said police. Authorities said they were not releasing students from the premises until all students were accounted for.
"What the president did clearly worked", Sanders responded with unearned smugness, noting that Trump's disengagement allowed the crisis to be solved by Schumer.
The White House will release its framework for a bipartisan immigration plan on Monday.
The press secretary said that Trump has "instructed the top law enforcement agency in this country to crack down on crime and to do everything we can to prevent this type of thing". On Tuesday night, Trump sent out a tweet insulting Senate Minority Leader Chuck Schumer, referring to him as "Cryin", while threatening to hold DACA hostage.
She also said Trump has consistently called for these principles in immigration reform.
"I don't think that helps us very much", Sanders said of legislation crafted with only one chamber in mind.
He said, however, that if a deal is not struck by then, the issue would be taken up in debate on the Senate floor.
Chief of staff John Kelly spoke to Speaker Paul Ryan and Senate Majority Leader Mitch McConnell and updated the President on the talks.