The House is expected to vote on the civil liberties measure Thursday.
Drone-obtained evidence collected without a warrant must be thrown out in court under the proposed law.
The bill contains exemptions allowing drone use without a warrant. One comes into play if the federal Department of Homeland Security determines drones are needed to prevent a terrorist attack. The other kicks in when swift action is needed to prevent an escape, evidence destruction or imminent danger.
If approved by the Legislature and governor, the measure would take effect in July.