URL of a custom post type’s post format archive?

With pretty permalinks enabled, the URL of a Custom Post Format archive would look like this:

http://example.com/type/link/

And it works for me.

Now, considering that my custom post type archive is located at (where ‘bookmarks’ is the custom post type’s name, registered with 'has_archive' => true):

http://example.com/bookmarks/

Isn’t the custom post type’s post format archive supposed to be located at:

http://example.com/bookmarks/type/link/

But I get an HTTP 404 Not Found Error. Isn’t it how it works? If not, how do I access the custom post type’s post format archive?