You can minimize the chances of a cycle/mini cycle by adding the "live" sand very slowly, by that I mean add a little to one side of the tank first then wait. Do this over the course of I'd say 2 weeks.
Now keep in mind also, if adding sand on top of existing "live" sand you will likely suffocate the bacteria in the current "live" sand therefor a mini cycle will most likely take place. By adding more sand very slowly and over time you may avoid that all together.
Just something to think about