A vote on the PJM power line project is set for this Thursday.
If approved Delaware electricity customers will be facing an extra $2 to $4 a month over the next 40 years on their bill.
The plan is to build a transmission line that would tie the Artificial Island nuclear power plant in New Jersey to a Red Lion substation.
The Wilmington News Journal reports that the vote by the PJM board of directors will take place behind closed doors in Audobon, Pennsylvania.
The results will be made public afterward.
Delaware officials oppose state residents being billed for a project from which they would only get 10% of the benefits.
State officials say Delaware customers would wind up paying 90% of the cost while the company says that figure is more like 60%.