The proposed new centre, which would be built next to the existing Mill Centre, will include health and social care services as well as community services for local residents.
It is hoped that planning approval will be received for the project this summer, with construction due to start in early 2015.
Jim Forrest, Joint Director, West Lothian Health and Social Care Partnership, said: “Plans for the proposed new Blackburn Partnership Centre are progressing well and the submission of the planning application marks another milestone for the project.
Hub South East Scotland Ltd, NHS Lothian and West Lothian Council’s development partner, is delivering the project and appointed GRAHAM Construction to build the new centre.