The school will collectively bargain with teachers after 85% said they wanted to join a union.
They will meet in private before the vote, but board president said they would discuss the matter in public.
The school's teachers want to join a union due to complaints about pay and contract renewals.
The effort to unionize teachers at the city's top public high school comes to culmination next week. School leader Timothy Rusnak's discretion over who gets paid what has been a hot topic since the organizing drive began. Rusnak says it gives him leverage in bidding for the services of the best teachers.
Early returns from enrollment process show room for additional applicants who pass the admissions test.
The well-regarded school would become the second charter in the city to join union.
Teachers union proposes creation of a formal hiring policy.
Formed with the support of 94 percent of staff, The Morris Jeff Association of Educators will be solely comprised of the school's employees.
The immediate aim is professional development, but the union also wants to lay the groundwork to organize the schools.