The electron current density in nanoscale junctions is typically several orders of magnitude larger than the corresponding one in bulk electrodes.Consequently, the electron-electron scattering rate increases substantially in the junction. This leads to local electron heating of the underlyingFermi sea in analogy to the local ionic heating that is due to the increased electron-phonon scattering rates. We predict the bias dependenceof local electron heating in quasi-ballistic nanoscale conductors and its effect on ionic heating and discuss possible experimental tests of ourresults.