Copy of Project Team Members when copying projects

Good day:

We have our project in SolMan, single source of truth (SST), and we create new projects where we enter the specific business scenarios from SST that we are to modify.  Eventually, with compare and adjust, we keep up-to-date our single source of truth.

Every time we create/copy a project, the Project Team Members Tab only shows the user who actually created the project.  When one of the members is about to modify a given business process to work on, any change is denied until somebody goes and populates the Project Team Members Tab with the member's user account. 

Is there a way to automatically define that when creating/copying projects that the Project Team Members are copied over?

Thanks,

Juan-Carlos