The carrier has agreed to recognise unions for the first time.
Impact has this evening suspended a planned one-day strike of Ryanair pilots next Wednesday after company management agreed to recognise the union as the representative of Irish-based pilots.
Investors in Ryanair have questioned if Michael O'Leary's reign is coming to an end after he yesterday offered to recognise unions for the first time in the company's 32-year history.
It will bring certainty to Ryanair passengers travel plans over the Christmas period.
IMPACT responded, saying the strike would go ahead unless management agreed to talks before that, to allow them to ensure there was substance in the offer and to understand how the airlines' recognition of unions would proceed.
Ryanair's move was announced on Friday, after pilots' unions in Germany, Italy, Ireland, Britain, Spain and Portugal threatened unprecedented industrial action in the run-up to the Christmas holidays against unsatisfactory working conditions.More news: Teen's Celebration After Being Accepted To Harvard
The announcement was made on Sunday night by the Impact trade union which also represents in this case Ialpa, the pilots' union.
The union added that it had asked Ryanair to release its pilot representatives to prepare for and attend the meeting.
"We're certainly happy to meet Ryanair on Tuesday", he said.
Confirmation that the meeting with Impact will now take place Tuesday in advance of the Wednesday deadline was confirmed by Ryanair on Saturday.
"Recognising unions will be a significant change for Ryanair, but we have delivered radical change before, most recently when we launched Ryanair Labs and our highly successful Always Getting Better customer improvement programme in 2013".