WORCESTER, Mass. - Members of Gov. Maura Healey’s administration are visiting the U.S.-Southern border this week.

Their goal is to make connections with U.S. Customs and Border Protection, non-governmental organizations and families to share with them, Massachusetts is currently lacking shelter space.

The visit comes as hundreds of migrants are set to arrive in Norfolk at the old Bay State Correctional Center later this week.

Meanwhile, a local state senator is renewing his call that people who live in Massachusetts deserve priority in housing over new arrivals.

Republican Ryan Fattman said he thinks there should be a change to the Right to Shelter Law, but it's been met with resistance by Democrats.

He said the money being used to fund shelters isn't being felt by taxpayers right now because it's coming from a rainy-day fund, rather than the general fund, but when it runs out there will be an issue.

“When that runs out of money in towards the end of the year, we're going to have this whole other debate,” said Sen. Fattman. “And the feds aren't sweeping in to save the day. They haven't said that they're going to give us any money, any reimbursement for any of the costs that we're experiencing."

Fattman filed an amendment to institute a six-month residency requirement to access the emergency shelter, but it didn't pass.

The Democratic led Senate passed a spending bill 32-8 in March which would allow more than $825 million in a state escrow account to be released to help the shelter crisis.