Little tunny. The little tunny is a handsome fish with black scribble patterns on its back. It has a robust, torpedo-shaped body built for powerful swimming and it has no swim bladder. The mouth is large, the lower jaw slightly protruding past the upper jaw. The flesh of the little tuna is darker and stronger tasting than that of the other large tunas. It is marketed fresh, dried, canned, smoked, or frozen. It is often caught on hook and line near reefs.