With the project already spilling into the billions, and it's completion date put out three times, the job between the public sector - The NZ Transport Agency - and a private arm called the Wellington Gateway Partnership has grown.
Before Covid-19, the arterial route out of Wellington had a deadline of November, but lockdown has extended that timeline into 2021.
As previously reported, every month over the due date comes at a cost of about $10m.
RNZ was told it's now an arm-wrestle to work out who pays the bill.
The Transport Agency said the full impacts of Covid-19 were still being assessed, and negotiations between them, Wellington Gateway Partnership, and the builders were under way.
It wasn't clear if that could be a solution or if Covid-19 would instead be deemed as an uninsurable event.
RNZ understands the parties were also looking at a different clause which could allow them to renegotiate or even terminate a contract if they were unable to agree after 40 working days.
Those 40 days could end as soon as next week, but sources have told RNZ there is some debate about the start date for that period.
The timeline to get the job completed before the November deadline was always going to be tight and RNZ was told the seven weeks of tools down during the lockdown had really pushed them into next year - especially as they were likely to be the last weeks of dry weather before winter.
So with work not likely to begin in earnest until October, it has been suggested that pushes the completion date out until at least May 2021.
So far the Transport Agency has refused to confirm any new target date for completion, but said it was committed to getting the job completed.