Pinal County health officials said 40 percent of detention center staff have refused to show they were vaccinated and refused vaccinations for the measles virus.
The legal battle between the U.S. government and immigrant rights groups has been fought in court since just after the 2014 Central American migrant crisis.
Polygraph examiners for the Border Patrol are criticized for how they manage examinations in the agency's Tucson sector.
The Border Patrol has traditionally been led by former agents
Five people trying to cross the border illegally have died in the past three weeks in Yuma.
The suit was filed in U.S. District Court in Tucson last week.
Federal agents are investigating a Yuma area shooting.
Part 5: Over the last three years, tens of thousands of unaccompanied minors have fled Central America for the U.S. At least 19 have wound up in the hands of labor traffickers.
Part 4: In the last two years, more than 10,000 child migrants have faced deportation proceedings without ever finding a lawyer to help them. Thousands more children face the same fate despite government efforts to fund more free lawyers.
Part 2: Since the child migrant crisis unfolded two years ago, the United States has assisted Mexico on its southern border. The result has been rising deportations from Mexico amid a rise in allegations of corruption against its immigration agents.