The unshunted (un) SQUID is a two-junction device whose Josephson junctions are damped at high frequencies only. Single-valued rather than hysteretic behaviour on the negative resistance region is obtained by using a voltage bias rather than a current bias. We have studied numerically the noise properties of the un SQUID with a double-loop (dl) washer configuration, in which the SQUID inductance is capacitively split into two loops. Our simulations with /spl beta//sub c/=0.7 and /spl beta//sub l/=0.5-3 suggest that noise level in the un dl SQUID depends more weakly on the device parameters than in the un SQUID. The best energy resolution obtained in the smooth area of the IV curves is /spl epsiv//spl ap/5k/sub B/T/spl radic/(LC) but in narrow pockets in the non-smooth region /spl epsiv//spl ap/3k/sub B/T/spl radic/(LC) is approached.