The conditions of existence of extra mass flux in single-component dissipative nonrelativistic fluids are clarified. By considering Galilean invariance, we show that if total mass flux is equal to total momentum density, then mass, momentum, angular momentum and booster (center of mass) are conserved. However, these conservation laws may be fulfilled also by other means. We show an example of weakly nonlocal hydrodynamics where the conservation laws are satisfied as well although the total mass flux is different from momentum density.