The administration is charging every adult caught crossing the border illegally with federal crimes, as part of the so-called "zero-tolerance" policy.
The "zero tolerance" policy has led to the separation of nearly 2,000 children from their parents at the border over the past six weeks.
Trump continued discussing the child migrant separation policy by saying: "We're stuck with these disgusting laws".
Additional reporting from Newsy affiliate CNN.
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Trump senior aide Kellyanne Conway appeared on NBC's Meet the Press Sunday and also expressed that "nobody likes seeing babies ripped from their mothers' arms" while calling on Democrats to close so-called immigration loopholes.
The separation of families came after Attorney General Jeff Sessions announced in April a new "zero-tolerance" policy on the border to prosecute immigrants for entering the country illegally.
Her comments were taken by some as an implicit criticism by Mrs Trump of her husband's recently introduced "zero tolerance" policy at the border.
Trump blamed Democrats for not fixing the law, despite the GOP being divided on the issue and unable to agree on an immigration plan.
The debate over the "zero tolerance" policyhas escalated since it emerged that 1,995 minors were separated from 1,940 adults in just six weeks as they tried to enter the United States between official border crossings. The children would be transferred to government detention facilities or foster care while officials try to resolve their cases.
Under President Bush, the USA referred all illegal immigrants for prosecution but made exceptions for adults traveling with children.
President Trump has repeatedly tried to blame Democrats for a situation that has sparked fury and a national debate over the moral implications of his hard-line approach to immigration enforcement. And it is on all of us, not just the Trump administration.