The Orleans Parish School Board has a new slate of candidates to interview for the job of superintendent, including one hopeful who formerly served as the top education official in Jefferson Parish.

The board is scheduled to interview three candidates during a closed session Thursday, having already vetted four others without inviting any of them back for further talks.

The new candidates are Diane Roussel-McDonald, the former Jefferson Parish superintendent; Veronica Conforme, who served as chief operating officer of the New York City Department of Education until last year; and Kriner Cash, who was a superintendent in Memphis, Tennessee.

The board won’t be making any final decisions Thursday, but it could vote to bring one or more of the candidates back for a second interview.

Stan Smith, the New Orleans school district’s former chief financial officer, has been serving as superintendent on an interim basis since 2012.

The search for a permanent replacement has dragged on for a number of reasons, including School Board elections in 2012, disagreements over which search firm to choose and debate over whether to replace Smith in the meantime.

The successful candidate will step into a complicated role, answering to a sometimes sharply divided board and tasked with managing a school system of mostly independent charter schools.