A short summary of a NLO QCD calculation for the top-quark pair production with a jet in the dilepton decay channel is presented. The calculation takes into account all double, single, non-resonant and interference contributions. Thus, NLO QCD corrections are computed for the process pp → e + ν e µ −ν µ bb j + X. This calculation provides the first complete description, which overcomes the narrow width approximation for tt j process in the dilepton decay channel. Results for the total cross section and differential distributions for the LHC at √ s = 8 TeV are shown.