Technically, you don't need a WDS server to play around with WIM files or deploy them. WIM files are very powerful and can be used from WDS, to SCCM, to bootable VHD's and custom bootable DVD's. I'm going to talk about the later here as it seems to be a best fit for you but if you get a chance, take a ponder at bootable VHD's!
Basically what you could do, seeming this is just one laptop to another so the shop (workplace) sounds small is that you can create and name a new WIM file as "install.wim" and place the file onto a ISO that is the Windows media! Here is a full process of doing such a task http://technet.microsoft.com/en-us/library/hh825131.aspx#bkmk_5.
Even though the link talks about Windows 8 and Windows 8.1, the same principals apply in Windows 7 and possibly, but don't take my word for this, Windows Vista SP2.
Also take a read at this too so you don't get caught out by it. http://blogs.technet.com/b/askcore/archive/2009/04/13/error-message-windows-cannot-access-the-required-file-d-sources-install-wim-when-replacing-install-wim-with-custom-install-wim.aspx