This paper is concerned with adiabatic compression of a plasma sphere with a random small-scale magnetic field embedded in the plasma. The length of the field line between two intersections with the wall, determined from random walk scaling, is large enough to make electron heat losses along the field lines negligible. Then, such a sphere may become an interesting target for magnetized target fusion experiments. Key processes affecting the performance of such a target are identified, and constraints on the parameters of the system are formulated.