Yes it would. The instructions we had was to use batting in between...not a good idea as almost too much thickness. The suggestion given is much better. The fleece replaces a 2nd piece of cotton and the batting normally used.
If you are adding a pocket to fold it into as a quillow...that needs to be a 20 inch square sewn on the cotton's right side before adding the fleece.
Right side down on the fleece as you will be pulling it thru the opening.
Good luck...