From what I remember, It seemed to happen when your female PC had finally convinced Mical to become her jedi apprentice; but you have to use the right dialogue in their conversations.
When it does happen, I think he goes into a long story about himself as a student child at the jedi academy and something about the exile being once his teacher. And somewhere in that dialogue I think he reveals his name to the exile.
I haven't tried to convince him of being a jedi in the game for a long time now, whenever I played the game, so I'm not sure but I do believe that is when he reveals his name to the exile. Hmmm, come to think of it, I haven't played as a female exile for a long time either.
Of course your PC's influence on him needs to be very high, so don't forget about that. And I do mean a very high influence on him.