Sen. Ted CruzRafael (Ted) Edward CruzThe Hill's Morning Report — Sponsored by PhRMA — Immigration drama grips Washington Senate Gang of Four to meet next week on immigration Live coverage: High drama as hardline immigration bill fails, compromise vote delayed MORE (R-Texas) said the Obama administration is to blame for the recent influx of child immigrants crossing the U.S. border illegally.

Speaking at a Republican fundraiser in Miami on Friday, the potential presidential contender slammed Obama's decision in 2012 to defer the deportations of some illegal young immigrants as a "lawless act" that created an incentive for more to enter the U.S.

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As a solution, Cruz said Congress should pass legislation to tighten border security and streamline the immigration system.

The Obama administration announced Friday it would step up efforts to repatriate a surge of illegal immigrant children as it scrambled to keep up with a crisis.

More than 47,000 children primarily from Guatemala, Honduras and El Salvador have been caught trying to cross the U.S.-Mexican border since the start of the budget year.