It *shouldn't.* What's your current mileage? I've heard of people switching at 200k, 250k miles and never develop a single leak. Also heard of others switching at 100k miles and leaks starting. I switch to synthetic at 107k miles. I'm at 121k miles and it's all sound.
Also, when you switch to synthetics, make sure to use a good filter, too. I've used my fair share of filters and the only two I'll use now is Amsoil Ea and WIX (Napa Gold). Great filters. Also, for oils, I was not happy with Mobil1. I use Amsoil, and I am trying out Royal Purple this time around. Amsoil was great, though.
I also switched my xfer case, differential fluids to synthetics (75w-90).