An apparatus in one embodiment comprises a host device that includes a set of input-output (IO) queues and a current multi-path input-output (MPIO) driver configured to select IO operations from the set of IO queues for delivery to the storage system. The current MPIO driver is configured to group a plurality of paths from the host device to a logical unit number of the storage system into a multi-path logical device. The host device is configured to install a target MPIO driver and to migrate control of the multi-path logical device to the target MPIO driver from the current MPIO driver where the migration comprises transferring IO entry points of the multi-path logical device from the current MPIO driver to the target MPIO driver. The host device is configured to deliver IO operations selected by the target MPIO driver to the storage system using the multi-path logical device.