are the 2 networked? if so there is easy solution, map the old computers CDrom to the new computer and install remote.
if not then you might have a bit more of an issue, but still not to hard.
try copping the CD onto your HD and install from there. if your new computer does not have a name brand standard CDrom it might not read the CD properly. have seen this with a lot of off brand CDroms and CDRW, etc.
if you are networked its a breeze.