Attorney General Jeff Sessions had earlier cited the Bible in his defence of the border policy that has resulted in hundreds of children being separated from their parents.
This setback could encourage more members - frustrated with the president's unpredictability - to sign a petition that would force a vote on four immigration proposals, including those favored by Democrats.
And the President signalled the drama could drag on.
What happens to the children?. The Department of Homeland Security confirmed Friday that at least 2,000 children have been separated from their families in the last six weeks.
There is no information about the age of the children.
Casa Padre, an immigrant shelter for unaccompanied minors, in Brownsville, Texas, is seen in this photo provided by the U.S. Department of Health and Human Services, on June 14, 2018.
Sessions described the policy as created to be a deterrant to illegal immigration, announcing "If you don't like that, then don't smuggle children over our border". "We can't have children with parents who are in incarceration, so they are given to me".
"The children can be taken care of quickly, beautifully, and immediately", President Trump said Friday. "House GOP Immigration Bill Would End Family Separation At Border", reads one NPR headline. "Separating babies from their mothers is not the answer and is immoral". Or, as former White House chief economic adviser Gary Cohn put it more succinctly on Thursday at the Washington Post when discussing the ever-turbulent West Wing, where policy stances can quickly shift: "Tomorrow's a different day".
White House and Kudlow's Friends Say He Will Bounce Back
For five years before his White House appointment in March, Kudlow hosted a CNBC show on business and politics. The White House has described the cardiac event as "very mild".
Shortly after the president's comments, House Speaker Paul Ryan's leadership team suspended their Friday plans to build support for the more moderate of the two draft bills, which would protect 1.8 million "Dreamers" from deportation and provide them a path to citizenship.
Almost 2,000 minors were separated from their parents or adult guardians who illegally crossed into the United States over a recent six-week period, officials said Friday in the most comprehensive 2018 figures provided on family separations.
On Thursday, US President Donald Trump was in favour of signing a new immigration bill, the White House said.
Kelli Ward, one of McSally's main opponents in the Arizona Senate primary on August 28, was more scathing in her assessment.
Instead, the GOP bill removes existing legal protections for children in detention, effectively allowing the Trump administration to indefinitely detain families who are awaiting court decisions.
Passage of the bill could alienate conservatives and depress turnout at a time when enthusiasm among Democrats is high. "Any Immigration Bill MUST HAVE full funding for the Wall, end Catch & Release, Visa Lottery and Chain, and go to Merit Based Immigration".
"The Democrats are forcing the breakup of families at the Border with their awful and cruel legislative agenda".
"Immigration is just the electric chair of politics for Republicans", Ros-Lehtinen said as she pantomimed someone being shocked.
Trump's comments came a day after protesters rallied across the nation against the separation policy.