The effect on nuclear dynamics of using various parametrizations of the Skyrme potential is studied. In particular, fusion cross sections for the light system $^{16}\mathrm{O}$ + $^{24}\mathrm{Mg}$ are calculated for the interactions Skyrme II, Skyrme III, Skyrme IV, Skyrme V, and Skyrme VI. The interaction Skyrme III is shown to increase significantly the fusion cross section. An angular momentum window for fusion is observed to occur for ${E}_{\mathrm{c}.\mathrm{m}.}\ensuremath{\gtrsim}70$ MeV.NUCLEAR REACTIONS $^{16}\mathrm{O}$($^{24}\mathrm{Mg}$,$x$) in time-dependent Hartree-Fock approximation. Effect of nuclear interaction on fusion cross section.