This is a bit difficult to answer and you really need to try the shoes on with the thicker socks to get an idea. It further depends on the exact measurements of your foot. For example, my foot is 10.25 inches and I also wear a 10D. The extra quarter inch provides me sufficient room to wear any kind of sock. However, if my foot were exactly 10.5, the thicker socks may be a bit tight.
8/5/15 at 12:42pm