The state of Arkansas, which plans to execute eight inmates over 10 days next month, is struggling to overcome a logistical problem to carry that out: There are not enough people who want to watch them die.

A state law requires that at least six people witness an execution to ensure that the state’s death penalty laws are properly followed. But so far, finding that many volunteer witnesses to cover all of the scheduled executions has proved difficult, prompting the director at the Department of Correction to take the extraordinary step of personally seeking volunteers.

A department spokesman declined to say whom the director, Wendy Kelley, has approached for help, but she has extended invitations at least to members of the Little Rock Rotary Club, according to news reports. Ms. Kelley made the request, which the members initially thought was a joke, after delivering a keynote address on Tuesday.

“You seem to be a group that does not have felony backgrounds and are over 21,” Ms. Kelley told the Rotarians, according to The Arkansas Democrat-Gazette. “So if you’re interested in serving in that area, in this serious role, just call my office.”