Top Beacon Hill Democrats said Wednesday that they are still racing to tie up a spending bill that could shuttle more money to the state’s emergency shelter system just as funding for the program could run out in the next week.

Massachusetts lawmakers have said that the $575 million allocated this fiscal year for the emergency shelter system is expected to dry up by mid-April, though the date could change depending on when bills come due. A report released earlier this week showed the administration has already spent $504 million on emergency shelters as of April 4.

Senate budget chief Michael Rodrigues said his understanding is money could run dry sometime around April 15 and negotiators are “trying like hell” to have a plan in place before next week.

“We are going to do our best to have a plan in five days,” he told the Herald while walking outside the Senate Chamber, adding if negotiators cannot come to a compromise, “we’ll figure that out in five days.”

A spokesperson for the Executive Office of Administration and Finance declined to comment.

The Healey administration has alternative pots of money to draw from to cover shelter payments if the Legislature does not strike a deal in time. Roughly $707 million is available to the governor this fiscal year to respond to the broader influx of migrants, according to the Executive Office of Administration and Finance.

One plan could see the administration turn to dollars originally set aside to reimburse schools for the costs associated with educating and serving children in shelters. That money would be backfilled at a later date when cash arrives from the Legislature, according to the administration.

The clock is ticking for House-Senate negotiators hoping to bridge gaps found in different versions of a supplemental budget that largely grant Healey access to one-time surplus revenues leftover from the COVID-19 pandemic.

The two bills differ in just how much money Healey can use, with the Senate proposing to empty nearly all of a more $1 billion account over two fiscal years with declining monthly spending limits and the House suggesting the governor gain authority over only $245 million.

House Ways and Means Chair Aaron Michlewitz said he is “working through” negotiations with Rodrigues.

“We’re working through it. We’re in current negotiations with the Senate. I’ve had some productive conversations, but not yet there so not done until it’s done,” he told reporters. “We’re gonna get it done as quickly as we can.”

House and Senate lawmakers approved $325 million in the fiscal year 2024 budget and $250 million in another spending bill passed last fall for the emergency shelter system. But costs are expected to reach $932 million this fiscal year and $915 million in the next, according to the administration.

House lawmakers released their yearly budget proposal Wednesday for fiscal year 2025 that proposes setting aside $500 million for shelters, including $175 million in surplus dollars leftover from the pandemic.

That move could hang over House-Senate negotiations on the supplemental spending bill for this fiscal year.

“This thing is a fluid discussion because if you go back nine months ago, it was a different discussion than it is today,” Michlewitz said earlier Wednesday. “We think that the number that we’re… putting on the table for discussion within the House is one that we think gets us far enough along that we can see where we are going forward down the road.”