The House of Representatives is scheduled to vote Wednesday on a measure to cut down on alleged fraud in the beleaguered multi-billion-dollar asbestos bankruptcy trust system.

It’s the first time an asbestos measure has made it to the floor of a chamber of Congress in nearly two decades, according to lobbyists pushing for the bill. Past measures aimed at the trust system have fizzled.

The measure, dubbed the Furthering Asbestos Claim Transparency Act of 2013, would amend federal bankruptcy law to require dozens of asbestos trusts to publicize information about the claims they’re paying out.

The trusts are giant pots of money that exist to compensate people who say they were injured by asbestos products made by companies that have since sought bankruptcy protection. The flood of asbestos lawsuits has led more than 40 companies into bankruptcy court.

Claimants only collect pennies on the dollar of what they’d earn if the companies were solvent, but the amount of money the trusts pay out collectively is huge. At the end of 2010, they paid about 3.3 million claims valued at $17.5 billion, according to a 2011 U.S. Government Accountability Office report. Plaintiffs’ attorneys get a cut of the payments to their clients.

Some critics allege fraud can result when people file claims against one trust blaming it exclusively for their asbestos disease, then make the same claims to other trusts as well as to solvent companies in court. Because trusts keep claims information secret, no one is usually the wiser. We wrote about the alleged fraud in the system as part of a series on asbestos litigation. The other stories are here and here.

Plaintiffs’ attorney associations and some asbestos victims oppose the measure, saying any requirements to offer more information about claims will bog down the system and delay payments to rightful victims who may only have weeks to live.

The measure’s supporters, which include the U.S. Chamber of Commerce, emphasize that cutting down on alleged fraud will save money for future victims of asbestos exposure. Cancer and other disease caused by inhaling fibers from the mineral used in fireproofing can take decades to show up. Asbestos is not banned in the U.S., though its use is somewhat regulated.

The measure’s sponsor, Rep. Blake Farenthold (R., Texas), said at a hearing earlier this year the trusts aren’t “limitless, bottomless pits of money.”