Fianna Fáil Senator Robbie Gallagher has called for additional accommodation at St. Aidan's Comprehensive School in Cootehill.
Speaking in the Seanad, Senator Gallagher highlighted the success of the school.
However, he said that it is now suffering from a serious lack of space, which is affecting its ability to operate safely and effectively.
According to the Senator, there are 654 students in the school, but there will be an increase in numbers in September 2026.
He said that due to a lack of space, 37 students may be turned away from the school next year.
Speaking in the Dáil, Senator Gallagher said: "I would like to commend the principal, Angela Flanagan, and the entire teaching staff and school team on the superb learning environment they have created in the school, which is manifesting itself in the results the students are getting and their academic achievements but also the numbers who hope to attend the school.
"The numbers speak for themselves. There will be over 700 students there next year. Unfortunately, the lack of accommodation is affecting the school's ability to provide educational attainment to the children who attend in a safe manner.
"The issue of accommodation needs to be addressed as a matter of urgency. I look forward to the response of the Minister of State so that the school can look forward to sending out letters of offer to all students who wish to attend. I understand the enrolment process will conclude on 17 October and the school hopes to send out letters of offer on 31 October.
"The clock is ticking. I acknowledge the latitude of the Acting Chair in this regard," Senator Gallagher added.