In case anyone else has this question, I was informed by the vmware vsphere/vcenter team that vGPU live migration is supported, but DRS is not. DRS currently provides the recommendations for the migrations needed, but will not automatically apply those recommendations.
It requires manually pushing the "Apply Recommendations".
I'm amazed at this answer since the functionality is obviously built in, but not supported. I'm looking into writing a script to apply these recommendations when they exist as a workaround.
I could see the same behavior in our environment.
Live migration of vGPU VMs works but not the DRS. So if I set one host in the cluster to the maintenance mode all VMs expect vGPU VMs will be automatically migrated to other hosts.
I have to mark all vGPU VMs and move it manually to other hosts in the same cluster on VSAN datastore. The wizard brings a compatibility warning but it will completes without issues.
I hope vmware can handle it in the near future.
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vMotion with vGPU is a relatively new feature. Over time they plan to improve it and that may include full integrations for DRS.