An apparatus in one embodiment comprises a host device configured to communicate over a network with a storage system comprising a plurality of storage devices. The host device comprises a set of input-output queues and a multi-path input-output driver configured to select input-output operations from the set of input-output queues for delivery to the storage system over the network. The multi-path input-output driver is further configured to generate a command comprising a cluster identifier of a cluster that includes the first host device and at least a second host device, and to send the command to the storage system over the network. The command is configured for utilization by the storage system to verify that the second host device is part of the same cluster as the first host device. The command may further comprise a group identifier for utilization by the storage system to identify the first host device of the cluster having the cluster identifier.