How do you move a LVM crypto swap partition from sda to sdb?

I have LVM configured for an encrypted home folder. Naturally this implies that swap falls into the crypto catagory. I have installed a second disk with a swap partition already ready to go and ready to be plug into the 'matrix'. Since I shortsightedly didn't consider LVM to handle the swap partition. I'm wondering is it possible to enter the new swap partition into fstab restart and be comfortable knowing it'll work. Or, do I have to continue with LVM?

===Edit for terminology correction===