An execution date has been set for Texas death row inmate Robert Roberson. But the “shaken baby syndrome" case is far from over.

A judge in Texas has set Oct. 16 as the new execution date for Robert Roberson, a Texas death row inmate convicted of killing his daughter in a case linked to shaken baby syndrome. Roberson's lawyers want the state's highest court to pause his execution while they appeal.

After a roughly 20-minute hearing, Judge Austin Reeve Jackson rejected arguments by Roberson's attorney that his execution should be further delayed because of a pending appeal to the state's highest criminal court.