It really depends how much memory you have and whether you're using multiple hard drives. I have a dedicated drive that's used only for transfers, tracking and conversion. It's not unusual for me to be listening to one show while transferring another, surfing the web, etc., but your mileage may vary. If you're low on memory and only have one hard drive, I'd follow Gordon's advice - and most of the time I set up a transfer to run right before I go to bed anyway - but you may want to do a test run on your own to see if it works.
Of course, I also listen to each show all the way through with headphones before I seed, just to make sure I catch any flaws before the show goes out. Some folks don't.