The form 61-9tx sounds familiar.. It was only when I applied for my ASIC that I was told i needed a valid part 61 licence to meet the operational need for the asic..
So once that form was lodged via email through CLARC, the new licence inserts were sent to me and the ASIC came a few weeks after..
So long as you can show the ASIC team that you have a valid part 61 licence, that will meet their operational needs requirement for asic issue.. I didn't have to send the asic team logbook info etc.. they confirmed with casa that i had the new part 61 licence and all was good..
So get the casa/part 61 form done first, then apply for your ASIC thereafter would be best..
All the best with it!