An iSCSI name forwarding technique allows a security appliance to assume iSCSI names of one or more clients and one or more storage systems in a network. The security appliance is coupled between each client and storage system, and is configured to intercept a data access request issued by the client that is destined for the storage system. Each iSCSI name of the storage system is an iSCSI target name associated with secure storage, i.e., a cryptainer, served by the storage system, whereas the iSCSI name of the client is an iSCSI initiator name of the network entity, i.e., the client, which initiates the data access request to access data stored on the cryptainer.