The city tentatively settled a long-running contract negotiation with the police sergeants union that had threatened to dwindle the ranks, officials said Tuesday.

The tentative agreement would give the city’s 4,400 NYPD sergeants raises — including retroactive pay increases dating back to 2021, Police Commissioner Jessica Tisch said at a press conference at City Hall.

“Our sergeants are the front-line supervisors of the NYPD, managing officers in the field, solving problems in real time, and setting the standard for performance across the department,” Tisch said.