Story highlights Christie wants the government to hire FedEx founder Fred Smith

The New Jersey governor also said "anchor baby" comments are a "distraction"

Laconia, New Hampshire (CNN) Chris Christie said Saturday that if elected president, he will track immigrants who overstay their visas like FedEx packages.

"I'm going to have Fred Smith, the founder of FedEx, come work for the government for three months. Just come for three months to Immigration and Customs Enforcement and show these people," the New Jersey governor said at a town hall event here.

Christie added that while FedEx can track boxes, the U.S. can't track undocumented immigrants.

"You go online and at any moment, FedEx can tell you where that package is," he said. "Yet we let people come into this country with visas, and the minute they come in, we lose track of them."

Christie added, "We need to have a system that tracks you from the moment you come in and then when your time is up," he said. "However long your visa is, then we go get you and tap you on the shoulder and say, 'Excuse me, it's time to go.'"

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