Bubble cloud persistence reduces the efficacy of mechanical liquefaction with shock-scattering histotripsy. In this study, the contribution of gas transfer to bubble longevity was investigated in silico by solving the equations for bubble oscillations and diffusion in parallel. The bubble gas content increased more than 5 orders of magnitude during the expansion phase, arresting the inertial collapse. The residual gas bubble required more than 15 ms for passive dissolution post excitation, consistent with experimental observation. These results demonstrate gas diffusion is an important factor in the persistence of histotripsy-induced cavitation.