A method for recovering subsurface hydrocarbons, including heavy oil or bitumen, wherein a downhole steam injection phase is followed by application of heat to the near-wellbore region of the reservoir, heat being applied only during periods without steam injection. The heat application can be achieved by any number of techniques including electrical heaters, radio frequency waves, electromagnetic waves and microwaves. Numerous advantages are possible by withholding heat application during the steam injection phase. While preferred for use with cyclic steam stimulation recovery techniques, the method can be applied with other steam-based recovery techniques.