A process and a plant for preheating a metal charge fed in continuous to an electric melting furnace through a preheating tunnel provided with a horizontal conveyor, wherein the metal charge is hit, in countercurrent, by the exhaust fumes or gas leaving the electric melting furnace and by jets of gas ejected through a plurality of nozzles positioned on the hood of the tunnel. The nozzles are arranged in groups interspaced from each other in a longitudinal direction with respect to the tunnel, and generate a small-scale turbulence or inject small fast gas jets that can penetrate the main gas stream passing through the preheating tunnel, and simultaneously generate a “horseshoe vortex” structure composed of a descending central gas flow (“downwash”), and ascending flows (“upwash”) close to the side walls of the preheating tunnel, which enable a desired circulation of the gases.