Register the engine change on your V60, that way it'll show up when your tester checks the cars details to register the test online.
If it's a 3VZ-FE it only goes to '96 so it will be exempt and this should be on the testers details. I only know as myself and Chris worked until 5am to fit a cat to mine before my test the next day only to be told I didn't need one. :icon_rolleyes:
If you need any further advice drop Pat (Headcase) a PM as he's a qualified MOT Tester and can confirm for you.