Washington (CNN) Illegal border crossings stabilized in April after jumping substantially in March, a sign that a surge at the southern border may not be imminent, according to newly released statistics from the Trump administration.

In April, there were 38,234 apprehensions at the southern border and 12,690 people deemed "inadmissible," or who came to a port of entry without papers that authorized them to enter the US, virtually unchanged from the month before. The number of family units and children in both categories also held roughly steady from the previous month.

The news comes as the administration has claimed a "crisis" on the southern border, a narrative largely driven by the jump in March and the comparison to the numbers last spring, when crossings were at abnormally low levels.

The administration reiterated that position in a statement about the new figures Friday, with Department of Homeland Security press secretary Tyler Houlton saying the numbers "underscore the continuing security crisis along our southwest border."

The statement also included a threat to anyone who would "abuse" immigration laws with a "zero-tolerance policy."

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