Be patient with your current training. Ninjutsu (all forms) is very detailed when it comes to the sword. I have taken Togakure Ryu Ninjutsu (Bujinkan Dojo), and we trained heavily with the sword. I would suggest that you get as much as you can from your current training before you run off to another dojo.
Not to mention that most traditional Kendo or Kenjutsu dojos will only train you to be right hand dominant, whereas Ninjutsu will stress using both hands and unconventional gripping techniques to make sword fighting more powerful.