While a mini procedure seems like a great idea, there are pitfalls. In a mini tummy tuck, the umbilicus is left in its native place, but skin below is removed. This will nearly always pull the umbilicus down. If the base of the umbilicus is short, the downward pull will be minimal. However, if the base of the umbilicus is longer, the umbilicus will become more substantially pulled downward.
This may improve a little bit with time as the lower abdominal skin stretches out a bit, but your belly button will not likely return to its earlier position. This is something you should talk about with your surgeon.
If you really don't like the new position of the umbilicus, conversion to a full tummy tuck will solve the problem.