VMware NSX
VMware NSX-T Data Center
The failover is intended to announce the new owner of the VIP via a GARP. In some circumstances this is not broadcast by the VM at an OS level. This is prior to NSX or any part of the VMware infra being involved and is an OS level issue.
As the GARP is not announced the network does not learn of the new location of the IP and does not amend the forwarding tables. This continues until the ARP expires in which case the new owner will work as expected until another failover occurs.
This is not a VMware issue and is related to an OS issue. The software vendor should be contacted for assistance.
Required configuration for HA-VIP usage on NSX segments is documented by KB - Configure and apply NSX-T Segment IP discovery profile when using high availability (HA) for Virtual Machines.