The state Assembly next week will take up a bill designed to give undocumented immigrants access to driver’s licenses, Assembly Speaker Carl Heastie on Tuesday confirmed.

“It should be on the floor next week,” he said.

The measure’s fate in the Democratic-controlled state Senate, however, remains uncertain as lawmakers continue to debate the legislation that has long been a political third rail for the state.

“There’s been a lot of expressions of support,” said Assemblyman Marcos Crespo. “A number of members have not signed on to the bill, but expressed if the bill comes forward, they would support it. I don’t see any issues at this stage.”

The Assembly Transportation Committee on Wednesday is expected to advance the legislation.

Supporters have contended the bill has economic merits, so undocumented residents can take their children to school and drive to work. But local government officials, including county clerks who manage Motor Vehicle departments, have pledged to not enforce the legislation if approved.