ALBANY – New York City Council members schlepped to the state Capitol on Wednesday to ask legislators for help finding places to host migrant asylum seekers.

“The purpose of our visit was really to start to build out a statewide coalition,” City Councilwoman Nantasha Williams said at a press conference.

“We know that the city has been bearing the brunt of this crisis. We are at capacity, and we need help.”

At least 40,000 migrants, many escaping poverty and violence in their home countries, currently depend on New York City for housing and other basic needs.

Outreach by the Council members comes as Mayor Eric Adams pushes to move more migrants outside New York City despite stiffening resistance from upstate counties unswayed by his assurances that the city will pick up the tab.

The City Council delegation at the Capitol on Wednesday – which arrived nearly a week after Adams demanded city lawmakers become more involved in confronting the crisis – included Williams, Shaun Abreu, Eric Dinowitz, Althea Stevens, and Erik Bottcher.

They outlined a sprawling list of requests for members of the state Senate and Assembly – which recently approved roughly $1.3 billion in aid for New York City – alongside platitudes about increased cooperation between city and state lawmakers.

Affordable housing and more state funding for the city in the future were two topics mentioned.

“This is really also an opportunity for the city and the state to really work hand in hand in speaking in one voice to the federal government,” Abrieu said at the press conference before referencing outstanding efforts to get the feds to increase financial aid to the city while loosening work rules for asylum seekers.

Roughly three dozen state lawmakers met with their city counterparts on Tuesday night in Albany ahead of a Wednesday meeting between the Council members and Assembly Speaker Carl Heastie (D-Bronx), who did not respond to a request for comment.

The list of state lawmakers included New York City Assembly members Kenny Burgos, Harvey Epstein, Chantel Jackson, Grace Lee, Manny De Los Santos, Alex Bores, Jessica Gonzalez-Rojas as well as state Sens. Zellnor Myrie, Julia Salazar, Robert Jackson, Leroy Comrie, and Roxanne Persaud.

Assemblywoman Anna Kelles (D-Ithaca) was the only upstate legislator confirmed by The Post confirmed met with the city delegation.

Republicans said they were not surprised that city lawmakers did not reach out to them amid GOP efforts to blame the migrant crisis on pro-immigrant policies championed by New York Democrats.

“I suspect it’s because the first question we will ask the New York City council is when will they be residing the sanctuary city status? To me there should be no assistance for what is a self-inflicted wound,” state Sen. George Borello (R-Jamestown) said.

Counties led by Republicans and Democrats alike have enacted emergency orders to keep what they say is a New York City problem from affecting their own communities.

Battling such attitudes is a key goal for City Council members as the Big Apple reaches its breaking point with a crisis likely to exceed more than $4 billion in costs – with no end in sight.

“We are here because we care. We are here because we want to make sure our city is OK. We want to make sure that new people coming into our city are OK. But you know, we also do have to figure out ways to make them care,” Williams said of upstater legislators resistant to hosting migrants in their own communities.

“There are lots of folks that don’t care. We see it on the news. We need to figure out a way to make them care.”