wordpress template hierarchy: single of taxonomy term

I have a custom taxonomy posts that I can display with:

taxonomy-my_taxonomy.php

I know I can display posts of the certain term within that taxonomy:

taxonomy-my_taxonomy-my_term.php

Now, is it possible to have a separate template for a single post of that term/taxonomy?

I’ve tried: single-my_taxonomy-my_term.php

but it doesn’t seem to work