The National Cancer Screening Register NCSR will also replace state-based registers.
According to healthcare IT outlet Pulse IT, Telstra Health's Ruth Salom will lead the project.
Salom's background includes four years leading SA Pathology.
Telstra subsidiary Emerging Systems will handle integration and medical record development.
Fuji Xerox will subcontract the mailing systems, and multinational United Health Group UHG will provide contact centre services.
The national register is due to be in operation by May 1 2017, and Fairfax reckons Telstra has begun headhunting with approaches to staff of Cytology Victoria.