Union leaders will make concessions to try to save Grangemouth petrochemical plant when they meet management later, the BBC understands.
All 800 employees were told they would lose their jobs when owner Ineos announced the closure of the facility.
Employees had rejected proposals by the firm to end their final salary pension scheme and cut shift allowances.
Unite is now set to accept this plan in talks on Thursday on the future of one of Scotland's largest industrial sites.
Ineos warned that the petrochemical plant had no future unless its proposals were approved.
The company said it had decided to close the plant because half the workforce had refused to accept the cost-cutting plan essential for the facility's survival.
BBC Scotland correspondent Colin Blane said the Unite union appeared to be shifting its position and ready to accept the survival plan.
Local management said it would pass on any change in the union's position to shareholders - but there would still be a big hurdle to get over.
Refinery doubtUnite remained hopeful, along with the Scottish and UK governments, that Ineos would reverse its decision.
However, the company has said while further meetings would be held in the coming days to discuss redundancies there were "no prospects" of returning to conciliation service Acas to revisit the decision to close the petrochemical plant.
Previously, Ineos said it was ready to invest £300m in Grangemouth if workers agreed to the new terms and conditions.
About 800 of the 1,370 people directly employed at the Grangemouth complex work at the petrochemical plant, with many more working there as contractors.
The dispute at the site, near Falkirk, began over the treatment of a Unite union official and escalated to the threat of strike action.
This was dropped but the operator shut down the plant and issued an offer of revised terms and conditions in a "survival plan", which was rejected by union members.
Ineos chairman and founder Jim Ratcliffe had said at the weekend that if the petrochemical plant closed it was likely the neighbouring refinery would go as well.
The refinery provides most of the fuel to Scotland, the north of England and Northern Ireland.
Ineos had said liquidators for the petrochemical plant would be appointed within a week.
Unite's Scottish secretary Pat Rafferty said the union had made further proposals in an effort to "stave off catastrophic job losses".
Political movesScottish First Minister Alex Salmond spoke again to management and unions to try and seek further resolution. He also convened an emergency cabinet meeting with relevant ministers to discuss the on-going situation.
Afterwards he said there was still room for negotiation between both parties, particularly since Unite had put forward fresh proposals to the company.
Mr Salmond said: "We should give time for the proper consideration of this offer, especially given that we know an agreement between both sides was very close last week, and the prize is a viable future for Grangemouth.
"However, given that the current position is the one we always feared possible given the stalemate between the sides, if an agreement between Ineos and Unite is not possible then we will continue to pursue our contingency options of finding a buyer for the site."
Ministers - including the Scottish Secretary Alistair Carmichael and Energy Secretary Ed Davey - met in London to discuss this issue.
Mr Carmichael told the BBC's Newsnight Scotland programme that Mr Davey had a 40-minute "positive" talk with Mr Ratcliffe.
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