Tom Tylutki, president of the Michigan Corrections Organization, said the escape attempt happened Sunday night.
Tylutki said officers discovered the prisoner missing after his cellmate started acting odd. The cellmate eventually told officers the prisoner was gone.
Tylutki said the missing prisoner was found with sheets apparently to be used to scale a fence.
Department of Corrections spokesman Russ Marlan said the prisoner has some "mental health issues."
The prisoner's name wasn't immediately released. He could face charges in the escape attempt.
State police are handling the investigation.