Embodiments of the present invention provide a method and system, in a network storage system, for efficiently migrating a storage object (vdisk) from a first storage server (source) to a second storage server (destination) using data of a related vdisk at the destination. A related vdisk includes an earlier created vdisk (parent) from which the vdisk to be migrated (child) is generated (cloned). By virtue of the cloned relationship, the parent and child have a portion of data blocks in common. When a parent is available at the destination, only the changed data blocks between the parent and child need to be migrated for efficiently constructing the child at the destination.