You can do that by going to Analysis > Table Layout > Advanced and changing the options on maximum levels of row and column labels. By default, this is limited to 6, but you can increase it up to 16.
Hope that helps.
You saved the day (or cross tab at least). Thanks so much Siraj!
You're very welcome Justin! :-)
By the way, I love the community on Tableau - there are a lot of people who are willing to help and go a long way in building your expertise on Tableau, at all levels! :-)