Second-level teachers belonging to the Teachers Union of Ireland are due to receive the first restoration of supervision and substitution payments worth €800 on 13 October.
However, members of the Association of Secondary Teachers of Ireland will not received the payment because they have rejected the Lansdowne Road Agreement.
Payments for the duty were worth almost €1,600 a year but were abolished during the economic crisis.
The payment will be restored in two lump sums commencing in October under the terms of the LRA.
The move is likely to fuel tensions among ASTI members who are currently balloting for industrial action which would involve ceasing to do supervision and substitution.
If they do so, many schools would be forced to close for health and safety reasons.