Hybrid welding systems and portable hybrid welding modules are disclosed. An example portable welding power supply includes an output converter circuit to convert direct current (DC) power to welding power, the DC power comprising at least one of DC input power or converted battery power. The portable welding power supply also includes a battery and a bidirectional DC-DC converter circuit configured to receive the DC input power and coupled to the battery. The portable welding power supply also includes a control circuit configured to control the output converter to output the welding power, control the bidirectional DC-DC converter circuit to convert the DC input power to charge the battery, and control the bidirectional DC-DC converter circuit to convert power from the battery to provide the battery power to the output converter.