When I think of a compression shirt, I think of a baseball players under armor compression shirt. Not a whole lot of compression, just something thats a little snug to hug the muscles and keep them tight and warm. A binder is a whole different story. It fits much tighter and really binds the breasts to the chest, making them somewhat flat. They are much harder to get into as well. Like one of the other posters said, with a compression shirt and small boobs you might get away with it. But if you have bigger breasts, a binder would work a bit better for you.