Gov. Bobby Jindal has not yet set a special election to replace Boutte, who was due to serve until the end of 2014.
Parish President Guy Cormier said it seems likely a special election could piggyback on municipal elections scheduled for the spring.
“But a justice of the peace or a constable’s commission is good parishwide, so others from other wards can fill in in the meantime,” Cormier said.
Boutte said he is stepping down for health reasons.