The mass of the lowest spin-zero, strangeness-(-2) flavor singlet state in
the dibaryon sector has been calculated in quenched QCD on 16(3) x 32 and 2
4(3) x 32 lattices at beta = 5.85 to study whether the energy of the propos
ed H dibaryon is near or below the hh threshold. Preliminary results indica
te that finite lattice volume artifacts overestimate the binding, and that
on the largest lattice m(H) is of the order of 100 MeV above the Lambda Lam
bda threshold.