The $30 million contract will be Nexans' entry into Australia.
The umbilical will be manufactured at Nexans' plants in Halden and Rognan, Norway and will be delivered in January 2018.
It will be installed at a depth down to 915m.
To maximise the cost-effectiveness of the single unit umbilical it will comprise both dynamic and static sections.
Nexans previously worked with OneSubsea on the Julia oil field project in the Gulf of Mexico. Nexans designed, manufactured and supplied an integrated power umbilical solution and termination hardware.
Production of the field started earlier this year.
"We are excited to expand our reach around the world and our strong relationship with OneSubsea. Nexan's senior executive vice president high voltage & underwater cable business group Dirk Steinbrink said.
"Nexans has pioneered the development of power umbilicals which are a cost-effective way of supplying power, control and other functions to the sea floor."
Sanctioned last month, the Greater Enfield project is a joint venture between Woodside and Mitsui E&P (40%).
The field is 60km from the coast of Exmouth.
The oil field will be developed using a 31km subsea tie-back to an existing floating production storage and offloading facility, the Ngujima-Yin at the Vincent field.
The development will require six subsea wells and six water injection wells to recover around 69 million barrels of oil equivalent.
OneSubsea will supply subsea pumps for the project.
The company, previously a joint venture with Cameron, is now 100% owned by Schlumberger following a merger earlier in the year.
OneSubsea's scope of work for the $2.5 billion project includes six horizontal SpoolTree subsea trees, six horizontal trees for the water injection system, six multiphase meters, a high-boost dual pump station with high-voltage motors, umbilical, topside, subsea controls and distribution, intervention and workover control systems, landing string, and installation and commissioning services.
Production is expected to begin from the Laverda Canyon, Norton over Laverda and Cimatti oil accumulations in 2019.