Trump did signal support for both bills, telling House Republicans on Tuesday night that he was behind both measures "1,000 percent".
"These changes are justified by several material changes in circumstances-including the ongoing and worsening influx of families unlawfully entering the United States at the southwest border", the statement said.
President Trump Wednesday afternoon signed an executive order ending family separation at the U.S. -Mexico border.
"The dilemma is that if you're weak, as some people would like you to be, if you're really, really pathetically weak, the country's going to be overrun with millions of people", Trump said on Wednesday, explaining his internal debate, "and if you're strong, then you don't have any heart".
The House will also vote on a more hard-line immigration proposal favored by conservatives. He called them "extremist open-border Democrats". That came after the Washington Post cited an unnamed official as saying that prosecutions of parents who cross into the USA illegally would be suspended until Immigration and Customs Enforcement could "accelerate resource capacity to allow us to maintain custody". "I was not put in a freezing cell".
The children who were separated from their parents at the border - from young children to teenagers - were immediately classified "unaccompanied" within the immigration system.
Trump campaigned on stopping illegal immigration and has fiercely defended his administration's actions. "It may be a compromise with the devil, but it is not a compromise with the Democrats".
It was dead earlier this month, after an insurgent effort to force a vote on a bipartisan bill in the House failed.
The House of Representatives was to vote on Thursday on two bills created to halt the practice of separating families and to address other immigration issues. "Republicans must get rid of the stupid Filibuster Rule-it is killing you!" "This immediate crisis seems to be going away". With mid-term elections looming, politicians will take the issue to the campaign trail - but it's a struggle with no end in sight.
On Wednesday, Trump reversed himself and took executive action aimed at curbing the separation of families. They have encountered persistent GOP divisions that have long prevented Republicans from tackling a broad immigration bill.
"Our members wanted to express themselves on an issue they care a great deal about", Speaker Paul Ryan said.
A White House official said first lady Melania Trump had been making her opinion known to the president for some time that she felt he needed to do all he could to help families stay together, whether by working with Congress or acting on his own. It did so by eliminating the 20-day cap on holding minors and allowing indefinite detentions. Under the Obama administration, such families were usually referred for civil deportation proceedings, not requiring separation.
Trump said that even with the change, border enforcement will be "equally tough, if not tougher". Were looking to keep families together.
The House rejected a more hardline conservative measure on Thursday.
In the Texas border city of McAllen on Thursday, prosecutors unexpectedly dropped charges against 17 immigrants who were due to be sentenced Thursday for improperly entering the US, according to Efren Olivares, a lawyer with the Texas Civil Rights Project, which has been interviewing adult immigrants to track them and their kids through separate government systems. Trump attempted to rescind the program last fall but was blocked in court.