This new information is so confusing! In one breathe they say you just need to change DLI in your CIC account, in another they say you need to submit a new SP application for DLI change.
To answer your question, it seems we need to report to the school for which the SP was granted first, prior to changing. Otherwise, we need to submit a fresh application. Makes no sense at all.
They are constantly changing the rules on their damn website without publicizing it. This is so frustrating!!!!