Currently china post air mail and Aliexpress standard shipping tracking shown the products shipping from China, and the shipper name address also has supplier address info from China. If you want to hide the tracking, you may need to apply small package line which usually start to update tracking once package declared in the destination countries, or apply local supplier with faster shipping although the product might be from China too.
Generally, any tracking number from AliExpress will show all movement of the package from the warehouse to the country of destination. If your suppliers warehouse is based in China, this will also reflect in the tracking update. You may want to discuss any workarounds this with your supplier or broaden your options by looking into shipments from other countries.
Do you currently use Oberlo to fulfill your dropshipping orders or are you using a third party app?
We have a great blog about Reliable Dropshipping Suppliers you can work with which will benefit your business in the long run and ensure your customers are receiving the best quality of products! It is important to note that you should always purchase a test product yourself. This is so you can go through the customer experience yourself and have the product in hand to ensure it is meeting the description of the products on your website!