Three offshore unions are balloting members on an offer from Aker Solutions on pay and conditions aimed at ending a dispute on the Mariner platform.
Last month some crew members downed tools in unofficial action on the North Sea installation.
Aker Solutions has since said it is in discussions with union officials to negotiate on pay and conditions.
Last week the contractor met with unions and made an offer aimed at ending the protracted dispute.
It covers payment for the standby period for workers between being trained and being sent offshore.
The offer also covers turntable beds as well as retention bonuses.
John Boland from Unite said the offer includes an increase of up to £6,000 for workers who are still with Aker for reaching certain milestones, such as delivery of first oil by November 4th 2018.
However, it is understood some workers have “concerns” about the level of the retention bonus, which has led to the ballot.
The result of the vote is expected on Friday afternoon for both the Unite and the RMT unions.
A spokeswoman for Aker Solutions said: “Aker Solutions has had constructive dialogue with the represented trade unions regarding some enhancements to terms and conditions on the Mariner project.
“The trade unions have recommended the offer to the workforce and we expect the results of that consultation within the next couple of weeks.”
It is understood that the GMB union is also carrying out a non-electronic ballot which will close next Friday.
Some crew members on Statoil’s £4.5billion Mariner project downed tools for eight hours in total on April 7 in a protest against alleged poor working conditions.
A picture published online appeared to show large numbers of workers sat in a social area refusing to work.
They are believed to have declined to work overtime the following day.
Management from Aker Solutions went ahead with a pre-planned visit to the installation on April 10, during which they are thought to have met employees to gauge the situation.
The Mariner project is currently in the hook-up and commissioning phase.
First oil from the field, located east of Shetland, is expected later this year.
It is expected to yield 250million barrels of oil over its 30-year production life, and create 700 long-term jobs.
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