You probably will. If you don't want to place another order and wait for shipping, you could get a 1ml syringe from a veterinarian or a pharmacy. I haven't tried to get one from a pharmacy, but I'm pretty sure I've seen people say that they have. When I started DIY, I didn't have a small syringe, and I was able to get one from a local vet.
Problem is that I'm kind of a muscular guy, so I can never get myself to ask a pharmacist for a syringe. I know their gonna be thinking one thing in the back of their minds (roids!) lol. I'll probably just swallow my pride since my flavors and nic come in today