Balancing Docker images between SSD and HDD

I have a Docker installation inside a VM, which has access to 64 GiB SSD and 1 TiB HDD, these live on RAID controllers outside the VM.

Now I'd like to keep images that are used by active containers on the SSD, and inactive images on HDD. Is there a way to instruct dockerd to compress inactive images after a while and move them out to separate cheaper storage, e.g. by having it automatically push to a registry and deleting the image locally?