A parole panel shall require as a condition of parole or mandatory supervision that a releasee required to register as a sex offender under Chapter 62, Code of Criminal Procedure:
(1) register under that chapter; and
(2) submit a blood sample or other specimen to the Department of Public Safety under Subchapter G, Chapter 411, for the purpose of creating a DNA record of the releasee, unless the releasee has already submitted the required specimen under other state law.