It depends on the era where the Jedi came from, and the type of training the Jedi has. Come to think of it, would the Jedi be allowed to have his or her lightsaber on his or her person? From what I can recall, a "classical Jedi" uses only his or her lightsaber, while a non-classical would use a lightsaber as either a last resort or when facing a Sith. I could be wrong, though...