Bay Area cities beyond San Francisco have been spared from the Trump administration’s earlier plans to conduct a surge of immigration enforcement, two federal officials familiar with the situation said on Friday.

President Trump announced a day earlier that he had called off the deployment in San Francisco after being persuaded by local tech leaders. But elected officials elsewhere in the Bay Area, who lacked similar assurances, had wondered whether federal agents would still conduct raids in their cities this weekend.

On Friday, the two federal officials said that the operation had been canceled throughout the Bay Area and that U.S. Customs and Border Protection agents were not expected to conduct the enforcement action that had been planned. Department of Homeland Security officials also called off plans to bring staff members from Los Angeles to the Bay Area to help with the operation, one of the federal officials said.

Mayor Barbara Lee of Oakland confirmed later on Friday that federal agents had canceled their operation in Oakland and the rest of the Bay Area. She said that she was told that by Yesenia Sanchez, the Alameda County sheriff, who was in communication with federal officials.

Other Bay Area leaders expressed cautious relief.

“While I am glad that President Trump called off the surge in federal immigration enforcement in our region, we must remain vigilant,” Jesse Arreguín, a Democratic state senator who represents East Bay communities, said in a statement. “Our immigrant neighbors, which are the backbone of our economy, are living in fear.”

Earlier this week, C.B.P. agents began heading to the Bay Area for an enforcement push that was expected to start this weekend.

The agents began staging at the U.S. Coast Guard base in Alameda, a military installation near Oakland, drawing more than 200 hundred protesters who opposed the immigration raids. At least two Border Patrol vehicles were seen entering the base on Thursday morning.

Mr. Trump said on Thursday that he had been convinced by tech executives with Bay Area ties that Mayor Daniel Lurie of San Francisco had made progress this year on reducing crime in his city.

But leaders and activists in Oakland, which borders Alameda, said at the time that they hadn’t been given any indication of whether the Trump administration would cancel enforcement plans there. In August, Mr. Trump named Oakland as one of several cities that he was eyeing for federal enforcement and National Guard troops because he said it had high crime rates.