Just go into the "suiting" section at your local fabric store. That's where all the woolens and wool blends are. The fiber content will be listed on the end of the bolt.
You do not want fleece.
"Fleece" and "wool" are two different things. Wool is a fiber, made from hair shorn from an animal (like sheep or alpaca), that can be used to make many different types of fabrics. Fleece is a specific type of textile with a plushie, pilly surface used to create warmth. (There such a thing as wool fleece, but most fleece is not wool, and most wool fabrics are not fleece.)
FF9 cosplay? Hit me up!
I now have a Tumblr
. Sometimes I use it.