(CNN) -- A proposed Arizona law would deny birth certificates to children born in the United States to illegal immigrant parents.

The bill comes on the heels of Arizona passing the nation's toughest immigration law.

John Kavanagh, a Republican state representative from Arizona who supports the proposed law aimed at so-called "anchor babies," said that the concept does not conflict with the U.S. Constitution.

"If you go back to the original intent of the drafters ... it was never intended to bestow citizenship upon (illegal) aliens," said Kavanagh, who also supported Senate Bill 1070 -- the law that gave Arizona authorities expanded immigration enforcement powers.

Under federal law, children born in the United States are automatically granted citizenship, regardless of their parents' residency status.

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Kyrsten Sinema, a Democratic state representative, strongly opposes the bill.

"Unlike (Senate Bill) 1070, it is clear this bill runs immediately afoul of the U.S. Constitution," she said.

"While I understand that folks in Arizona and across the country support S.B. 1070, they do so because we have seen no action from the federal government," said Sinema. "Unfortunately, the so-called 'anchor baby' bill does nothing to solve the real problems we are facing in Arizona."

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Arizona Republicans are expected to introduce the legislation this fall.

CNN's Ethan Harp contributed to this report