Automatically remove played from Autoplay

This has caught me out twice so far. I've used the autoplay feature to start the night with a few tracks in the background, only to be asked for an early request. On returning to the autoplay, it completely reestarted the whole playlist, forcing me to skip through the tracks.
Would it be possible to automatically remove the tracks that have been played?
Would it be possible to automatically remove the tracks that have been played?