Turning themselves in.

That applies to the list of admitted problem gamblers that have asked the Massachusetts Gaming Commission to ban them from the state’s two casinos and slots parlor. That list has a grown to more than 1,000 names.

While encouraging, gaming regulators say that figure constitutes just the iceberg tip of the commonwealth’s problem gamblers.

“I want to say that these numbers of enrollments are impressive and it’s a milestone. But I also want to say that it represents just a small percentage of the number of people that we know in Massachusetts struggle to control their gambling,” Mark Vander Linden, the Gaming Commission’s director of research and responsible gaming, said during the commission’s Dec. 16 meeting.