Of the 153 companies, 22 companies will be closed each day on a rotating basis.
The cuts are one way the department hopes to make up for a $30 million budget shortfall.
The fire department has imposed furloughs, offered early retirement to veteran employees and put in place a staffing plan that has scaled back the number of engine companies by 15 on any given day.
Staff assistants, who act as drivers and secretaries to high-ranking firefighters, could be reassigned next.
City News Service contributed to this report.