Roberson was convicted of killing his 2-year-old daughter in a “shaken baby” case that many say led to an innocent man’s death sentence.

The Texas Supreme Court on Friday denied a state house committee’s attempt to delay the execution of a man convicted of murder in the 2002 death of his 2-year-old daughter, clearing a path for a new execution date.

The state’s highest civil court ruled that legislators can’t use subpoenas to block death row inmates’ executions, but suggested there’s still time for Roberson to testify before a Texas House panel.