In "right to work" states, private-sector workers can't be required to join a union or pay dues as a condition of employment.
Walker has repeatedly been cool to the idea, saying it wasn't a priority and would be a distraction from his agenda, but he hasn't definitely ruled it out.
When asked about it again Tuesday, Walker says he's not pushing for "right to work" and would not support it next session in the Legislature. But he didn't promise to veto it should it pass.
Republican Assembly Speaker Robin Vos has said he would not pursue it next year.