The opening of two Job Corps training centers in September, four months behind schedule, was predicted by a D.C. official this week following a City Council vote to provide $533,500 that will be used chiefly to erect dormitory buildings.

The city government and the U.S. Department of Labor had announced plans last February to open the two centers by June 1.

Soon afterward, Mayor Walter E. Washington asked the council to switch $533,500 in unspent school construction funds to pay for moving three prefabricated buildings, to be used as dormitories, and to enlarge parking facilities at the two locations.

Council members questioned some aspects of the mayor's request in mid-May, and refused to grant the funding. This week the council approved a renewed request from the mayor.

The money will come from the construction budget for the Winston Elementary School in Southeast Washington, which was completed at far less than its estimated cost.

Thomas A. Wilkins, director of the D.C. Department of Labor, said council approval of the money should result in the centers opening around Sept. 1.

Wilkins said his department has a backlog of student recruits for the centers, which will train men and women aged 16 to 21 in a variety of skills.

The centers will be located at the former Junior Village in Southwest Washington and at the former Maple Glen juvenile institution near Laurel.