A hybrid hydraulic gas pump system includes a hydraulic gas pump installed on the lower end of a production tubular where the production tubular incorporates a gas lift system. The hydraulic gas pump may be operated using the same gas in the annular region as the gas lift system or may be operated using an independent supply line where the independent supply line is concentric with, or at least within, the production tubular. In some instances, the gas pump chamber may simply be an upper packer including a pickup tube, a check valve, and a pressurized gas supply line or other pressurized gas access mechanism along with a lower packer including a check valve. Each upper and lower check valve allows fluid to flow from below the packer to above the packer.