Depending on the computer you can plug the computer into the other and then transfer them over. You need the correct cable for this though.
Do you have am external HD? Or a flash stick or something? You could put them on there. Another way is to burn them to dvd (data dvd) and then import that, takes kinda long - but not that bad.
Guess it depends how much music you have.
You could also set up a network and transfer them over the network.
There are really lots of options
