In this contribution an unsplit subgrid-scale approach for simulation of mass transfer across deformable liquid interfaces is presented. Direct numerical simulation is used to obtain approximate solutions of the incompressible two-phase Navier-Stokes equations. Interface dynamics is accounted for by the Volume of Fluid method. Convergence behaviour of mass transfer for this method is investigated and compared to preceding approaches. The method is validated for mass transfer from bubbles using an exact solution for Re<1 building on the Hadamard-Rybczynski velocity field. Numerical results are in good accordance with the exact solution and Sherwood numbers obtained from simulations match well with values calculated from correlations found in the literature.