Judd, a former Kentucky resident now living in Tennessee, hasn't ruled out a run. But neither has she said anything to suggest that she would enter the race.
Her publicist said Tuesday nothing has changed since Judd released a statement last month saying she was honored to be mentioned as a potential candidate.
No Democrats have stepped forward to challenge McConnell, a political powerhouse who already has $6.8 million for his re-election.
McConnell, now in his fifth term, is the longest-serving U.S. senator in Kentucky history. He spent some $20 million on his last election to defeat a wealthy Louisville businessman.