A self-propelled wrapping machine movable around a load, for wrapping the load with a film of plastic material, includes a self-propelled carriage with a guide, a column fixed to the carriage and slidably supporting an unwinding unit of the film, a sensor to detect surfaces and/or external edges of the load in their total extension and along a detection direction and process related signals. The wrapping machine also includes a control unit to receive the signals from the sensor, calculate a peripheral outline of plan maximum overall dimension of the load based on the surfaces and/or external edges detected by the sensor, and process a wrapping path of the wrapping machine around the load based on the peripheral outline so as to avoid collisions with the load. The control unit controls the guide to guide the wrapping machine along the wrapping path.