It should work as per Apple website...
https://support.apple.com/en-us/HT202665
If you're using a MacBook Air SuperDrive manufactured before Fall 2010, it won't work with the USB-C Digital AV Multiport Adapter or the USB-C VGA Multiport Adapter. To identify these drives, plug in the drive and open System Information. Click the Disk Burning tab in the System Information window. If your SuperDrive displays 1CHQ or 2CH9 as its firmware version, it's not supported with these USB-C adapters.