Chances of getting deployed right away?

I am headed to BCT in a few months. Going in ACASP I am pretty much skipping AIT and going to my first duty station. Heard that Fort Stewart has units starting to deploy soon. Since that is where I am headed, is there a period after I first get there that I am not deployable? Just looking for a heads up as to how quick after checking in with my unit that I could be shipping out, that is if they are not already gone. Thanks for any info