Unless you are forced to use the same network interface, always use dedicated NIC, vLAN when possible.
Like others mentioned, if the VM is on a hypervisor where you can use that to present the disk, you should try that.
Examples would be NAS box with two interfaces, use second one for iscsi. Connect that to switch with different vlan. Connect something like proxmox second nic to iscsi vlan. Add remote disk in proxmox from iscsi nas. Add disk to VM.
This idea spans all different tech.
TrueNAS is a propose built solution.
You’ll need to use it the way it’s designed, which is extremely capable, but reading the manual is mandatory or you’ll do it wrong and then it will suck. I know this.
There’s TN Core, and Scale. Ones based on FreeBSD, one’s Linux. You can compare for your needs.
TN can be an enterprise solution if that tells you the capability.
Edit, it’s meant to be a storage solution. Scale adds containers. It’s not great IMO as a general purpose server OS .