Trade Union, Solidarity has accused FlySafair management of threatening pilots with another 7-day lock-out should they not accept the offer the company tabled on Saturday morning.
The workers are demanding a 10 wage increase and have rejected the airline's 5.7 offer.
The union says pilots are frustrated with the current unpredictable scheduling system. It says the schedule is causing frustration and leading to exhaustion.
Frustrated pilots are opting to resign. The union had requested a one-day strike, but in response, FlySafair instituted a 7-day lockout for pilots.
Deputy General-Secretary at Solidarity, Helgard Cronje, says FlySafair management refused to continue negotiations with the Commission for Conciliation, Mediation and Arbitrations CCMA on Friday night.