A Maryland bill to limit police cooperation with federal immigration authorities, which was criticized this week by U.S. Attorney General Jeff Sessions, will not pass the state Senate unless it is revised, the head of that chamber said Wednesday.

The Trust Act, as the legislation is known, would prohibit local and state police from assisting with federal immigration-enforcement efforts by stopping or questioning individuals about their country of origin or immigration status. It would also bar most Maryland jurisdictions from detaining prisoners who are undocumented past their release date, unless federal agents who want to deport them have a warrant or court order describing probable cause.

The House passed the legislation last week. But Senate President Thomas V. Mike Miller Jr. (D-Calvert) said the Senate Judicial Proceedings Committee, which is deciding whether to advance the measure, will not approve it in its current form.