Gretchen Sween, Roberson’s attorney, said the judge’s decision Wednesday should outrage Texans, calling her client “a demonstrably innocent man.”

Last October, Robert Roberson was set to be the first person in the U.S. to be put to death for a murder conviction tied to "shaken baby syndrome," which his legal team believes is junk science.

Roberson’s case has drawn widespread public support over the past two years, with lawmakers and faith-based advocacy groups urging the state to rehear his case.