Your hands won't enjoy this fleece jacket

I'm 170cm male with around 34" chest. I ordered the small one, it fits OK but the shoulder to the elbow area seems too baggy for my taste(shoulda gone XS). The zipper seems ok, color is exactly as in picture. One major disappointment is that the inner lining of the pocket is NOT FLEECE. That got me quite upset since I was hoping to bask my hands in comforting fleece.