Officials in Los Angeles County are considering declaring a state of emergency to provide relief for immigrants they say have suffered financially from continued fear over Immigration and Customs Enforcement raids.

The declaration would allow the Los Angeles County Board of Supervisors to enact an eviction moratorium and other protections for tenants affected by the immigration raids. It would be the latest step local officials have taken to push back against the Trump administration’s immigration crackdown in Southern California.

Local and state officials have sought temporary restraining orders in court over the raids and the deployment of troops, passed mask bans for federal law enforcement and set up financial relief funds for immigrants.

While images of heavily armed and masked federal agents on city streets have come mainly out of Chicago and other cities in recent weeks, fear has lingered among Southern California residents as immigration enforcement operations continue, though without the dramatic displays of force seen in past months.

“Families are now afraid to go to work, to attend school or even to buy groceries,” Lindsey P. Horvath, a county supervisor, said at a board meeting on Tuesday. “As this fear spreads, so does economic hardship, and with it, the very real risk of eviction and homelessness.”

The eviction moratorium would enhance existing rent relief for people affected by immigration raids that the board approved last month. On Tuesday, the five-member board voted 4 to 1 to put an emergency declaration up for a vote at its next meeting on Oct. 14.

The county’s lawyers cautioned that such a moratorium could pose issues for both landlords and tenants. They said it may require tenants to publicly disclose their immigration status, cause significant income loss for landlords and open tenants up to litigation from landlords to recover debts.

Lawyers for the county also said an emergency declaration by the county could prompt litigation from the Trump administration.

Kathryn Barger, the sole supervisor who voted against putting a declaration up for a vote, argued that the immigration sweeps did not meet the criteria of an emergency and that an eviction moratorium would be unfair to landlords.

“I get the fires — that was a natural disaster,” said Ms. Barger, the board’s only Republican, adding, “I’m sure we’re going to be challenged legally.”

Janice Hahn, another supervisor, said the situation facing immigrants in the county, which has nearly 10 million residents, did rise to an emergency, and that declaring one would send an important signal to constituents.

“It is an emergency,” Ms. Hahn said. “And their lives are in danger and in peril in a way that I’ve never seen.”

Ms. Horvath pointed to recent deployments of federal agents and troops to other cities to argue that federal operations in Los Angeles County would likely persist.

“Look at Chicago,” Ms. Horvath said. “Look at Portland. There are no limits.”