When I was studying jazz at uni, I was using a Warwick Corvette Bubinga 6, and it was fine for the electric bass stuff. I was comfortable on it and I played it the best out of my other basses, and given the huge amount of theoretical material I was processing, it only made sense to do this on an instrument I was comfortable on. It's a versatile instrument if you take the time to tweak EQs and things. Dare to be different; jazz should never be about the status-quo! And, like someone else said, jazz is not a sound or an instrument or a look; it's an approach to life and to music, and it's an art form that can be produced through whatever medium YOU choose!
Later in the degree, it became clear that to get more gigs, I would need a double bass as well. But that's the only reason; to get more gigs. So I picked that up along the way, but I have certainly not made any kind of decision to limit myself to one or the other. In Melbourne, there is an odd anti-electric bass culture amongst the jazz musicians, and that kind of pressure is hard not to bow to - especially when you're groveling for any kind of gig you can get in on. So, as you can tell, despite the ideals of jazz, the business of the whole thing can still have a big influence.
So, stay with your bass if you're comfortable with it. You'll be bombarded with technical and theoretical information at school and you won't have any chance applying it to your actual music if you don't find the instrument comfortable to play in the first place. If you can barely find you way around an instrument (which is often the case with EB player converting to DB), you won't be able to apply what you're learning and you just won't have fun! If you find that you NEED to change instruments as you get into the course, then do it... but not now.