( CNN ) -- Federal authorities have seen no change in the number of illegal immigration checks sought by local Arizona police and allowed under a state law partly upheld by a recent U.S. Supreme Court decision , officials said Wednesday . In the first week after the high court upheld a portion of the controversial law , eight calls were made by Arizona law agencies inquiring into the immigration status of persons suspected of being in the United States illegally , said spokeswoman Amber Cargile of the U.S. Immigration and Customs Enforcement in Phoenix . Those eight phone calls `` resulted in the arrest of 38 aliens on immigration violations '' between June 25 and July 2 , Cargile said . Texas uses license plate photos for enforcement . Comparison figures to the recent past or a year ago were n't immediately available , `` but our staff reports they continue to receive what they describe as a normal volume of calls from state and local law enforcement agencies , '' Cargile said in an e-mail response to a CNN inquiry . On June 25 , the U.S. Supreme Court struck down key parts of the Arizona law that sought to deter illegal immigration , but let stand the controversial provision allowing police to check a person 's immigration status while enforcing other laws if `` reasonable suspicion '' exists that the person is in the United States illegally . Critics said that law opens the door to racial profiling . California Senate passes 'anti-Arizona ' bill . The Phoenix Police Department and at least two sheriffs in Arizona told CNN that the law wo n't result in great change for their departments . But Tucson Police Chief Roberto Villasenor expressed concern in an interview after the ruling about whether his 950-officer agency has been dealt an `` impossible mandate . '' The state law , SB 1070 , allows citizens to sue his department or others if they fail to enforce federal immigration laws , the chief said . `` Just for my agency , it will be a huge workload , just making the calls and waiting for a response on what to do , '' the police chief of Arizona 's second-largest city said . `` I 'm not sure the federal government is capable of handling all the requests that they will be receiving , '' Villasenor added . `` I do n't know what effect it will have on my agency . '' Arizona rolls out 'show your papers ' law . At a time when the Tucson Police Department is down 160 officers because of a weakened economy , the agency now must make up to 50,000 additional phone calls a year to federal officials to verify the immigration status of persons whom officers have stopped and have reason to believe are in the country illegally , Villasenor said . Just 70 miles from the Mexican border , the Tucson department may have to spend more than $ 10 million a year to book and jail up to 36,000 arrestees also suspected of being illegal immigrants , a more than 7 % increase to the agency 's $ 130 million budget , Villasenor said .
U.S. immigration officials receive eight calls in the week after U.S. Supreme Court ruling . The number of calls has increased from about 50 to more than 100 a week, said spokesman for Homeland Security and Border Protection John Lapinski. The high court upheld part of an Arizona law that allows for illegal immigration checks . The eight calls are `` a normal volume '' and resulted in 38 arrests , officials say .