But the agency’s analysis of the rule’s regulatory impact concluded that half of current residents living in households potentially facing eviction and homelessness are children who are legally qualified for aid.

Current rules bar undocumented immigrants from receiving federal housing subsidies but allow families of mixed-immigration status as long as one person — a child born in the United States or a citizen spouse — is eligible. The subsidies are prorated to cover only eligible residents.

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The new rule, pushed by White House senior policy adviser Stephen Miller, would require every household member be of “eligible immigration status.”

Undocumented immigrants may no longer sign the leases of subsidized housing, even if their children are entitled to prorated benefits.

Approximately 25,000 households, representing about 108,000 people, now living in subsidized housing have at least one ineligible member, according to the HUD analysis.

Among these mixed-status households, 70 percent, or 76,000 people, are legally eligible for benefits — of whom 55,000 are children, HUD says. The vast majority live in California, Texas and New York.

“HUD expects that fear of the family being separated would lead to prompt evacuation by most mixed households,” the agency’s analysis said. “Temporary homelessness could arise for a household, if they are unable to find alternative housing.”

Those mixed-status families in subsidized housing receive an average of $8,400 per household a year, according to the HUD analysis, which is typically written by career staff.

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Restricting those subsidies to families in which all members are legal U.S. residents would cost an additional $193 million to $227 million a year because entire families would receive higher subsidies, the analysis said.

Given that Congress is unlikely to allocate the additional money, HUD probably would be compelled to “reduce the quantity and quality of assisted housing in response to higher costs,” the analysis found.

As a result, the analysis said, “there could be fewer households served under the housing choice vouchers program” — contrary to the Trump administration’s stated goal of getting more families off the years-long waiting lists for housing assistance.

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Carson told Fox Business on Thursday that only one in four Americans who qualify for federally subsidized housing receive help. “I’m talking about legitimate American citizens, so obviously we want to get those people taken care of," said Carson, who personally signed off on the proposed regulation.

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But the rule could have the opposite effect, the agency’s analysis said.

For public housing complexes, the increased costs imposed by the rule would hurt the quality of service, maintenance of units and “possibly deterioration of the units that could lead to vacancy,” HUD said.

The analysis went on to suggest “less costly” alternatives to limit the “adverse impact of the transition on eligible children,” such as grandfathering in current mixed-status families and only applying the proposed rule to new households seeking HUD subsidies.