Usually you would need a supported CPU to allow you to update the BIOS.
That said, you might be lucky and find that your motherboard shipped with the F3 and the only way of knowing for certain is to try it out. You won't damage the CPU if it isn't supported the only thing that will happen is, the PC won't POST.
If that happens then you will need to get the BIOS updated and the options for that are either a cheap supported CPU (if you can find one for sale), a friend with an AMD system that will let you borrow there CPU or a local PC repair shop.