The possibility of Finite-Larmor-Radius stabilization of a straight, diffuse, Z-pinch is considered using the FLR corrected MHD fluid equations. Stabilization of all MHD modes is indicated if a/sub i//a is sufficiently large. If a/sub i//a is too large, however, current-driven instabilities are found. Comparison with several experiments suggests that a ''stability window'' may exist. Scaling to reactor conditions is considered and, because of the possibility of operating at very high plasma density, sufficient n tau for a pulsed D-D system of small size and energy content is suggested.