Public support for beefing up security along the U.S. border with Mexico and deporting all illegal immigrants has grown significantly, according to a new national poll.

A CNN/Opinion Research Corporation survey indicates that nearly nine out of ten Americans want to beef up U.S. law enforcement along the border with Mexico.

The poll's Wednesday morning release comes one day after an administration official told CNN that President Barack Obama will deploy up to 1,200 more National Guard troops to the U.S. border with Mexico and will request $500 million to supplement current spending for enhanced border protection and law enforcement activities.

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According to the poll, 57 percent support Arizona's controversial new immigration law, in line with other recent national polls. Only 17 percent say they would participate in a boycott of Arizona as a result of that legislation.