The Supreme Court on Monday agreed to decide whether an aggressive Arizona statute targeting illegal immigrants interferes with federal law, entering another high-profile dispute between the Obama administration and conservative state governments.

Among other provisions intended to drive illegal immigrants from the state, the 2010 Arizona measure, known as SB 1070, requires police to arrest people they stop whom they suspect of being foreigners without authorization to reside in the U.S. Federal courts have blocked much of the Arizona measure from taking effect, agreeing with the Justice Department that it undermines federal authority over immigration.