House Democratic leaders are seeking to dramatically cap the number of families the system can hold, and for how long, at a time when thousands migrant and homeless families have relied on the system for housing.

The $425 million emergency shelter system bill that the Massachusetts House of Representatives will vote on Thursday features temporary reforms including “stricter eligibility requirements, along with increased security measures” that House Speaker Ronald Mariano said could ensure the program can endure financially in the long term.

The House will vote Thursday on a $425 million bill to tighten shelter eligibility, shorten stays, and add security measures to manage the system’s costs.