Is there a shuttle bus from Suzhou to Pudong which departs from the Suzhou Sports Stadium?

I am in Suzhou and have a flight departing from Pudong this weekend. In the past I have taken the high-speed train to Shanghai Railway Station and then used Airport Bus No. 5 to reach Pudong Airport. However, I understand there is a direct bus from Suzhou. Can you provide information? Which is the best way? Thank you in advance!