ALBANY — As the U.S. Supreme Court hears arguments on so-called fair share fees paid by nonunion members for the second time in two years, New York labor unions are pre-emptively trying to stave off possible repercussions of the federal case.

The U.S. Supreme Court, which deadlocked last term on the constitutionality of mandatory fair share fees, heard arguments today on the fees paid by millions of public-sector employees who are covered by a union contract though they are not union members. The case was brought to the country’s highest court by the National Right to Work Foundation, which has been challenging the fees in court around the country, on behalf of Mark Janus, a child support specialist for the Illinois Department of Healthcare and Family Services.