White House press aides, Kobach and Cuccinelli did not immediately respond Monday to requests for comment. Kobach previously served as vice chair of the president's short-lived election fraud commission, which was disbanded after finding little evidence of widespread abuse.

A Department of Homeland Security official noted that White House czars have been appointed in the past when there has been an "urgent need" for sustained, inter-agency policy coordination. While Homeland Security often plays a leading role when it comes to immigration policy and enforcement, the department is not in charge of officials at the departments of Health and Human Services, State, Defense and Justice, which often play key roles.

Trump has often complained, both publicly and privately, about how he has not been able to do more to stop the tide of illegal immigration, which he has likened to an "invasion" and described as a national security crisis. Arrests along the southern border have skyrocketed in recent months and border agents were on track to make 100,000 arrests or denials of entry in March. More than half of those are families with children.