In this article we investigate the correlations between tauonic B meson decays (e.g., B→τν, B→D(*)τν, B→πτν) and electric dipole moments (EDMs), in particular the one of the neutron, in the context of the S1 scalar leptoquark. We perform the matching of this model on the effective field theory taking into account the leading renormalization group effect for the relevant observables. We find that one can explain the hints for new physics in b→cτν transitions without violating bounds from other observables. Even more interesting, it can also give sizable effects in B→τν, to be tested at BELLE II, which are correlated to (chromo)electric dipole operators receiving mτ/mu enhanced contributions. Therefore, given a deviation from the Standard Model (SM) expectations in B→τν, this model predicts a sizable neutron EDM. In fact, even if new physics has CP conserving real couplings, the Cabibbo-Kobayashi-Maskawa matrix induces a complex phase and already a 10% change of the B→τν branching ratio (with respect to the SM) will lead to an effect observable with the n2EDM experiment at Paul Scherrer Institut.