Casey Grayson's body was found inside a pickup at a truck stop on April 30 in New Orleans, according to Sheriff Tyree Jones. Drugs were also found inside the vehicle.
The 34-year-old was one of four men who broke out of the same detention center last month. It is believed they climbed out of a hole in the jail's roof.
Jerry Raynes, 51, was captured in the Houston area last week and Dylan Arrington, 22, was killed in a shootout with law enforcement on April 26.
Raynes appeared in a Harris County court, where he waived his right to fight extradition. He was found at Memorial Hermann Greater Heights Hospital, where authorities said he had been a patient for an unknown amount of time.
The fourth inmate, Corey Harrison, is still on the run.