Albence told Fox News that enforcement operations would target families who entered the country illegally then mostly failed to attend court hearings to pursue an asylum claim.
Immigration rights activists have said that in many cases immigrants do not receive proper notice of their court dates.
The operations came as the Trump administration faces criticism for housing immigrants in overcrowded, unsanitary conditions, and there are concerns about migrant children being separated from adults by US authorities.
“While we haven’t heard of widespread sweeps, none of our communities should have to live in fear that parents won’t come home from work, or kids won’t return from school,” said Lauren Weiner, communications director for the American Civil Liberties Union, which sued this week to stop the arrests going ahead.