1. A computer system for performing server virtual machine image migration and dependent server virtual machine image discovery in parallel, the computer system comprising: a bus system; a storage device connected to the bus system, wherein the storage device stores program instructions; and a processor connected to the bus system, wherein the processor executes the program instructions to: start migration of a server virtual machine image that performs a workload to a client device via a network and, in parallel in real-time during execution of the migration, continuously discover an identity of a set of dependent server virtual machine images corresponding to the server virtual machine image being migrated to the client device to increase performance of the client device by decreasing server migration time in response to receiving a request to migrate the server virtual machine image to the client device via the network; generate a server migration pattern of the discovered set of dependent server virtual machine images for the workload in response to discovering the identity of the set of dependent server virtual machine images; calculate a level of risk corresponding to migrating each dependent server virtual machine image of the discovered set of dependent server virtual machine images to the client device based on the server migration pattern of the discovered set of dependent server virtual machine images for the workload; calculate a score for each dependent server virtual machine image based on the calculated level of risk corresponding to migrating each of the dependent server virtual machine images to the client device; rank each of the dependent server virtual machine images in a prioritized server migration list based on the calculated score for each particular dependent server virtual machine image, the workload, and criticality in performance of the workload by each particular dependent server virtual machine image to prioritize migration execution; and migrate the dependent server virtual machine images in a ranked priority order of the prioritized server migration list for each of the dependent server virtual machine images to the client device via the network to execute the workload.