The Labour Court has recommended that Bus Éireann workers should get a 2.75% this year followed by a 2.5% pay rise in 2020 and 2021.
This would equate to a 7.75% pay rise over three years.
If accepted, the increases would take effect from January this year.
The Labour Court also recommended that Saturday working should be to suit customer and timetable requirements and that the company should roster work in each depot in a fair and equitable manner.
The court ruled that Sunday working should be on the basis of two in five or three in five at out-based locations.
It said this should be reviewed after six months against cost and operational considerations.
The Labour Court recommendation also says that any proposal regarding accrued annual leave should be dealt with through normal procedures in a format that encompasses all affected employees including drivers.
NBRU General Secretary Dermot O'Leary said: "Whilst our members will make the final decision regarding this recommendation, the Labour Court has to be commended for acknowledging that our members have made a major contribution in dragging Bus Éireann back from the brink of a scenario where those in officialdom were determined, in 2017, to drive this once proud national transport carrier over the cliff of financial ruin.
"The NBRU will continue to campaign for appropriate funding for public transport, we will continue to advocate for our transport service to remain in public ownership."