The State Examinations Commission (SEC) has said marking is complete in most subjects for this year's Junior Cycle exams.
It said the priority continues to be Leaving Certificate appeals, and that until such time as the number of appeals is known, it will not be possible to provide a date for the issue of appeal results.
The SEC also said that Junior Cycle results have not been issued in mid-September since 2018.
It said that in 2019, they were issued in early October after a reform of the appeals processes which saw Leaving Cert appeals results prioritised ahead of the Junior Cycle results.
It added that "every effort will be made by the SEC to issue these results as soon as possible".
This year's Junior Cycle exams were the first to be held in three years.
Speaking on RTÉ's Morning Ireland, ASTI President Miriam Duggan said it is very difficult for those students who sat their exams in June to have the "unfinished business of third year still behind them".
She said the union understands that the SEC has been under extreme pressure as a result of the Covid pandemic, but it would be helpful if Minister for Education Norma Foley was to announce a date by which the exam would be released.
"It is not perfect but it might reduce the stress for students," she said.
Ms Duggan acknowledged that there are reports of a shortage of teachers to correct the exam papers.
"It is an unusual year. We have to bear in mind the impact of Covid pandemic has been enormous. Teachers were operating for the last number of years in exceptionally stressful situations, as the students were as well."
She said she thinks teachers were "burnt out" at the end of last year, and it is not back to "normal times" just yet.
