LITTLE ROCK, Ark. (KTHV) - Arkansas Attorney General Leslie Rutledge has sent a letter to Governor Asa Hutchinson asking that he set an execution date for Jack Gordon Greene.

The request comes after a spokesman for Hutchinson said on Thursday that the state has a new supply of midazolam, according to the Associated Press. The state received the new supply of midazolam on August 4.

On October 15, 1993, Greene was originally convicted of capital murder and sentenced to death in the Johnson County Circuit Court. Then after the Arkansas Supreme Court vacated his sentence on two different occasions, two different juries re-sentenced him to death.

According to the letter, the attorney general's office requests for an execution date once all appeals, habeas corpus proceedings, and execution stays have been exhausted.

Greene was convicted for kidnapping his niece in North Carolina, killing his brother Turner "Tommy" Greene, and 69-year-old Sidney Jethro Burnett who was a retired preacher.

In an interview with CBS affiliate KFSM, Greene's ex-girlfriend, Donna Johnson said at that time he was heading "straight to Arkansas" to find and murder her.

"Knowing Jack, he just kept drinking," Johnson said, "and he went to Mr. and Mrs. Burnett's house. He always swore he'd kill both of them."

Johnson explained that the Burnett family helped her during her worst times of her life.

"He beat that old man, tied him to a chair, beat that old man with hominy can," Johnson said. "[He] slit him from ear to ear, stabbed him."

She said that one time Greene cut her finger off and they went to the hospital to get it sewn back on. Greene's attorney John C. Williams said his clients suffers from brain damage and a psychotic disorder.

In April, the state of Arkansas executed four men in a seven day span after scheduling to execute eight inmates in 10 days.

(The Associated Press contributed to this report.)