The request to the Labour Court will cover all language schools in the Republic that teach English as a foreign language and other English language-related training courses.
The workers covered under the move will include all academic, administrative, maintenance, cleaning and security staff.
Some English language schools have collapsed without warning in recent years, and an independent Government report found high levels of dissatisfaction among teachers with their working conditions and precarious employment.
Junior Education Minister Mary Mitchell O’Connor said in January that the Government is committed to a high quality English-language teaching sector, and that teachers and staff are central to this.
Under the Industrial Relations Act, the Labour Court must satisfy itself that an application by a group claiming to be representative of workers is well-founded.
It must also establish that the existing machinery for effective regulation of remuneration and other employment conditions is inadequate.
The inquiry into the application will be held at 10am on 4 October at the Labour Court building, Lansdowne Road, Dublin 4.
Any objection to the Draft Establishment Order must be made by the previous day, in writing. All written objections will be published on the Labour Court website.