How do you prevent ICs that are "turned off" from drawing parasitic power?

I use a 74LVC07A part that has something they call IOFF circuitry. When the IC is powered off its outputs become high impedance (not diode clamped I guess). I laid out a board, but never actually built it, so I'm not actually sure if it works the way I think it does, anyway look at some datasheets that have IOFF and see what you think.