We report a sensitive study of D + s → τ + ν τ decay via τ + → e + ν e ντ with an integrated luminosity of 1 ab −1 at the center-of-mass energy of 4.009 GeV at a future Super Tau Charm Facility (STCF). Under the help of the fast simulation software package, the statistical sensitivity for the absolute branching fraction of D + s → τ + ν τ is determined to be 2 × 10 −4 . Combining with our previous prospect of D + s → µ + ν µ , the ratio of the branching fractions for D + s → τ + ν τ over D + s → µ + ν µ can achieve a relative statistical precision of 0.5%, which will provide the most stringent test of the τ-µ lepton flavor universality in heavy quark decays. Taking the decay constant f D + s from lattice QCD calculations or the CKM matrix element |V cs | from the CKMfitter group as an input, the relative statistical uncertainties for |V cs | and f D + s are estimated to be 0.3% and 0.2%, respectively.