The announcement was made after a three-judge panel of the 9th Circuit Court of Appeals rejected on April 11 Arizona's plea to overturn a district judge's injunction blocking implementation of parts of SB1070.
Among the articles currently suspended is one that would oblige police agencies in Arizona to ask for proof of legal residence in the United States from anyone they suspect of being an undocumented immigrant.
Also blocked is the article that obliges all immigrants to carry their immigration documents at all times.
"Arizona will prevail in its fight to protect its citizens," Brewer said Monday.
The Republican governor said that a year after she signed SB1070, Arizona continues fighting against crimes related to the violence generated by Mexican drug cartels.
This is a new chapter in the history of a law that divides communities inside and outside the state, between those who want an "iron fist" against illegal immigration and those fighting for the rights of immigrants.
Because Brewer considers that time is of the essence, she decided to take SB1070 to the Supreme Court instead of lodging a second appeal with the 9th Circuit.
An intervention by the high court would create a "greater likelihood that legal questions surrounding the law will be resolved quickly so that the law can begin to do its job," she said.
The state of Arizona now has until July 11 to present its official appeal before the nation's highest court.
The Supreme Court is not expected to decide whether it will hear the case until late September or early October.
"Our issue is bigger than simply border security. It's about the principle that a state must be able to protect the safety and welfare of its citizens, especially in the absence of sufficient federal assistance. I'm confident that Arizona will emerge victorious from this legal fight," Brewer said.
The governor admitted that it will be a costly legal battle.
She said that up to now her office has received $3.7 million in private donations for the legal defense of SB1070, of which amount approximately half has already been spent.
"For decades, the federal government has neglected its constitutional duty to secure the border. It is because of that negligence that Arizona was forced to take action to protect its citizens via SB1070," the governor said.
Arizona's attorney general, Tom Horne, said the situation on the border is so "urgent" that the state must fix it as soon as possible.
Implementation of SB1070 has spread fear among Arizona's immigrant community, whose members have begun leaving the state to find better opportunities elsewhere.
The enactment of the controversial law also sparked a boycott against the state that experts say has seriously affected the tourism industry and Arizona's image within and without the United States.