The Office of Court Administration, which oversees New York state courts, is considering making a rule that would prohibit federal immigration officers from arresting undocumented immigrants in state courthouses without a warrant signed by a federal judge.

Chief Administrative Judge Lawrence Marks told state lawmakers at a hearing in Albany on Tuesday that while court officials do no support banning officers with U.S. Immigration and Customs Enforcement from entering state courthouses, they may consider the warrant requirement to add an additional layer of protection for immigrants.