What are my chances with getting on with the 82nd airborne?

I enlisted into the army as a infantryman. I did not get a airborne contract but enlisted members are telling me that when I complete my basics then to ask for a airborne contract and I should get it because my MOS is 11x is this true? With delayed entry airborne contracts were rare. I've always wanted to go airborne. As far as PT standards go I am pretty fit as far as the push ups and sit ups and 2 miles go. I scrored a 86 on my ASVAB and a 106 for my GT score. Do you think I could get into the airborne preferably the 82nd.