Boston City Councillors are expected to take another run at a map that redraws the political boundaries of the city as some are calling for a halt to the process, known as redistricting.

Allston-Brighton Councillor Liz Breadon on Monday released the latest map she expects to bring to the Council chamber floor for a vote on Wednesday. But the 13-member body’s president, South Boston Councillor Ed Flynn, is calling for a work stoppage as he criticized the proposal, which significantly takes a knife to his District 2, as well as to Dorchester-based District 3, represented by Frank Baker, and Dorchester and Mattapan’s District 4, represented by Brian Worrell.

The redistricting process is aimed, in part, at having the nine Council districts contain, roughly, an equal number of residents, standing at about 75,000 this time around. But District 2 has an overpopulation of 13,481 residents, meaning it has to shed residents, while District 3 lost population and needs to gain in population.

A vote initially planned for last week’s Council meeting was pushed off after several South Boston civic groups filed a suit alleging an Open Meeting Law violation when a handful of councillors gathered at two community meetings and a press conference outside City Hall.

Breadon’s latest map, which keys off a map pushed by NAACP Boston and other local advocacy groups, is expected to have enough votes to clear the Council and land on Mayor Wu’s desk. The mayor has largely steered clear of the matter, as her former colleagues have heatedly debated which precincts, the building blocks of redistricting, should go where.

The latest map moves precincts with public housing developments in South Boston into Dorchester’s District 3 and unites the Vietnamese community in Fields Corner. Parts of Neponset would be moved from District 3 to District 4, with the exception of Ward 16, Precinct 9, which would stay in District 3, along with Port Norfolk’s Ward 16, Precinct 10.

Lower Mills, long split between Districts 3 and 4, would be united within District 4, while Adams Village would span the two districts. Florian Hall’s potent double precinct — 16-12 and 16-11— would move into District 4.

“With unresolved excess population in District 2 and limited options for the other adjacent districts to pick up precincts outside of South Boston, the most feasible option is for District 3’s boundaries to shift farther northward,” Breadon wrote in her redistricting committee report.

A text alert and robocalls went out Tuesday night in Mattapan, saying councillors were set to "split Mattapan in half under a redistricting map" and urged residents to call Worrell to "tell him to vote against" such a division. The source of the messages was unclear.

Separately, Baker has angrily denounced attempts to split up Neponset, and argued that redistricting efforts don’t have to drastically revamp the boundaries. Councillor At-Large Michael Flaherty has filed his own map, which keeps all of Neponset within District 3.

Flynn on Monday called the proposed removal of public housing developments from his district “unconscionable."

"Our public housing developments have a large number of Hispanic and Black residents, and they contribute greatly to the diversity of South Boston and District 2,” he said in a statement.

“These developments have always been in District 2, and they identify with the neighborhood of South Boston,” he added. “Removing them completely, and separating them from the rest of South Boston, makes District 2 less diverse.”

Flynn added that there is no legal requirement for redistricting to be finished by Nov. 7.

In a new statement 12 hours later, Flynn called for a “halt” to the process, calling it “tainted and flawed.” He added that the redistricting effort should be handed off to a “blue-ribbon mapping commission” for study and to create maps that “will not tear neighborhoods apart.”

The new map and Breadon’s committee report remain on the council agenda for Wednesday.

Breadon’s report touched on future redistricting efforts, and Baker’s contention that another district seat is needed as the city’s overall population continues to rise. Changing the composition of the council requires the election of a charter commission.

“If there is an interest in potentially expanding the size of the City Council, research should be conducted to identify the proper steps,” she wrote.

Breadon also called for the establishment of an independent advisory commission so that future community engagement is done “well in advance,” after the 2030 Census results are released in 2031.