Ancillary 6Li + 6Li reactions will produce products, some of which are radioactive, in a fusion reactor operating on the 6Li(p,α)3He cycle. Available cross-section data for 6Li + 6Li reactions have been used to compute the reaction rates as a function of temperature in such a reactor. Below 80 keV, the rate of ancillary reactions is less than that for 1H + 6Li by at least 103, but this factor diminishes until at 270 keV it is only ∼10. An appreciable fraction of the ancillary reactions leads to the radioactive products 7Be + n.