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 said the execution of a man convicted of murder in the 2002 death of his 2-year-old daughter could move forward, even as a state house committee seeks to subpoena the man for his testimony as its bipartisan members fight to spare his life.

The unanimous decision frees the state to reset Robert Roberson's execution date but suggests lawmakers may still be able to hear his testimony.