Although you have two identical devices, it is necessary for you to plug another one of the same kind to wait for the drivers to recognize it and install it accordingly. This happens because even if the devices are the same, they have different fingerprints and serial numbers plus components with different identification systems. That's why you need to wait for the computer to install the drivers again for the same product. There is no need for users interaction as the drivers are installed from the other product.
If the operating system prompts you should accept a new driver installation, you should proceed and click accept. The new product will work just fine with the same drivers as the first one has.