Austudy approved, transitioning from JSK - do I report whilst waiting for the change over?

I'm transitioning from JSK to Austudy. I got an email today saying my time in WFA has ended (yay). I got a text saying Austudy has been approved. As I understand, once it's approved, you get your first payment 2 weeks later. I'm due to report for my JSK tomorrow - should I go ahead and do that? Will Centrelink manage the transition at their end without any issues or is there a chance I'll end up being overpaid if I report for JSK tomorrow? When I log into the app, it currently still says I'm due to report for my JSK payment tomorrow. Thanks one and all