A method and a system to increase heat input to a weld during an arc welding process. A series of electric arc pulses are generated between an advancing welding electrode and a metal workpiece using an electric arc welding system capable of generating an electric welding waveform to produce the electric arc pulses. A cycle of the electric welding waveform includes a pinch current phase providing an increasing pinch current level, a peak current phase providing a peak current level, a tail-out current phase providing a decreasing tail-out current level, and a background current phase providing a background current level. At least one heat-increasing current pulse of the cycle is generated, providing a heat-increasing current level, during the background current phase, where the heat-increasing current level is above the background current level. The cycle of the electric welding waveform with the at least one heat-increasing current pulse may be repeated until the arc welding process is completed.