That's a big size discrepancy. My guess is that it can vary a lot between manufacturers. Some spikes will be very narrow in the mid-foot and you might have to go up a size or two. I have a pair of Brooks which are exactly the same size as my normal running shoes, 9.5, but I recently bought some Adidas track spikes in 10.5.
Buying off the web is a bit of a risk really. You do want spikes to be a snug fit so your foot doesn't move around on uneven ground, but too small and you won't even get them on. I'd suggest doing your review homework on specific shoes to see how people compare sizes to running shoes you're familiar with.