quickly指动作的敏捷或完成得快,具有即刻行动,毫不耽搁之意义；而soon说明时间短,指（时间上）不久的将来将发生某个动作或某种情况.
如：
He quickly got up and went on running.他迅速爬起来,继续跑.
The show began soon after the dinner.表演在晚餐后很快就开始了.
所以这里用soon比较合适.