A technique for modifying an input/output (I/O) connection type between a client and a server includes determining, by the client, when at least partial storage access control for the client is to be migrated from a first virtualized I/O server to a second virtualized I/O server. An I/O connection type, from among multiple available I/O connection types available between the client and the second virtualized I/O server, is then selected by the client when the at least partial storage access control for the client is to be migrated. The selected I/O connection type is then communicated, by the client, to the second virtualized I/O server, which is configured to facilitate storage access for the client using the selected I/O connection type.