For nearly 20 years he has maintained that he is not guilty of the New Year's Eve 1993 murders of his live-in girlfriend Twila Busby and her two adult sons.
In an exclusive interview with Skinner, he says he will continue to fight for his freedom.
An advisory released last November by the Texas Attorney General's office claims additional DNA evidence tested last year further implicates him.
Skinner says one piece of evidence the state did not test could prove he's innocent. But, that evidence, a windbreaker originally found at the murder scene, is missing and cannot be tested.
Texas has put to death 492 inmates since the state resumed executions in 1982. Skinner has been in prison while 400 of those were carried out.
He has received three stays of execution.
The last came in 2010 when the U.S. Supreme Court ruled inmates do have a right to seek additional DNA testing.