The measure would ban any city, county or state government from paying employees to do union work, a practice known as "release time."
Brian Livingston, the head of the Arizona Police Association, told TPM his organization has been working with lawmakers to get the bill changed to leave out a wide array of government employees that may be called upon in emergencies.
Beyond police and firefighters, he said that includes people like geologists and construction workers. He said he wouldn't know until later today whether the amendment will be added to the bill.
Regardless, Livingston said he believes the bill has a good chance of passing the Senate. If that happens, it will move to the House.
Another bill, which would ban government workers from getting union dues automatically deducted from their paychecks, passed the Senate on Feb. 16.
Livingston said, however, that he's been promised the most contentious bill in the anti-union package will not be back. The bill would have banned collective bargaining by government workers.
"It's dead," Livingston said. "We've been assured by leadership that it's going nowhere."
A fourth bill, which was similar to the other paycheck measure, also appears to be stalled indefinitely.