Apologies, but I think we need a bit more detail regarding how the EDL is configured before anyone can begin to give any reasonable useful advice on how to approach this task.
I believe that EMC EDL (VTL) libraries can be configured in several ways - i.e. your EDL may already be operating in one of several different manners/configurations - e.g. a plain VTL (i.e. D2D), or as a VTL that is used as temporary staging space before NetBackup then duplicates to tape (i.e. D2D2T), or even again as a D2D2T type configuration, but with the EDL doing the duplications to a tape library that is directly attached to the EDL and not to the NetBackup media server (SunOS).
Are you sure the OS of the media server is SunOS and not Solaris?
Apologies, but you simply haven't given us enough topology or configuration detail to work with. We can give some general ideas about re-assigning the virtual media from one media server to another, but we have no idea whether we'd be giving you a good steer or not. Would you be willing to provide a bit more detail re your current configuration of both hardware and NetBackup software? Thanks.