Gov. Maura Healey’s administration has spent nearly $500 million on the state-run shelter system in fiscal year 2025, according to state data released more than a week after budget writers said they ran out of cash to pay for the emergency assistance program.

The cost of running shelters for local and newly arrived pregnant women and families with children has ballooned over the past year and a half as migrants from other countries arrived in Massachusetts and applied for taxpayer-funded housing.

In a report on emergency shelters released Monday, the Healey administration said it has so far spent $493 million on the housing assistance program in fiscal year 2025, or more than half the total cash dolled out to fund the system in the last fiscal year.

“Spending to date includes shelter and associated services, National Guard activation, clinical and safety risk assessment sites, temporary emergency shelters, (overflow shelter) spending, and exit programs,” the Healey administration said in a report that also noted total shelter spending this fiscal year is still expected to surpass $1 billion.

Officials released updated spending totals well after the Healey administration said it ran out of money to pay shelter providers and fulfill contracts and as Beacon Hill Democrats are weighing another $425 million infusion to keep services afloat for the rest of the fiscal year.

House lawmakers approved a spending bill last week that shuttled more funds to the shelter system and imposed strict limits on who can receive benefits, including by barring non-Massachusetts residents from gaining access to shelters.

The bill, passed on party lines with nearly all Democrats in support, also capped the total number of families allowed into the shelter system at 4,000 starting Dec. 31 and ending Dec. 31, 2026.

Senate Democrats released their version of the plan Monday. The proposal largely stuck to what the House sent them the week before and Healey had called on lawmakers to green light last month.

The Senate did add several additional measures, including language that would require Healey’s housing office to come up with a plan to phase out the use of costly hotels and motels serving as shelters by the end of the year, something the governor has pledged to do.

Both branches attempt to remove presumptive eligibility for shelter applicants, or the practice of placing families into temporary housing for up to a month based on self-attestations and then using that time to determine whether they are actually eligible for benefits.

The Senate’s spending bill would let state officials place families on a shelter waitlist if they appear to be eligible for shelter but need more time to obtain third-party verifications.

Both bills would give “non-eligible” families — including those that just arrived in the country — access to overflow shelters for up to 30 days.

And in a shift for the Democratic-led House and Senate, both branches proposed implementing a residency requirement for shelter access that would bar access for families who are not residents of Massachusetts and lawfully permitted in the United States.

The two chambers allow for an exception in cases where a child in the family is lawfully in the country. Both bills require each shelter applicant to show an “intent to remain” in Massachusetts by providing one of a series of documents.

The Senate plans to hold two formal sessions this week, with the shelter spending bill expected to surface during either meeting.