The internally-cooled liquid-desiccant (ICLD) air-conditioning system has gained more attention, owing to its energy-efficient performance. In this study, two restriction factors of the conventional heat-pump driven ICLD system are revealed: (i) heat and mass transfer driving force reversal phenomena exist in the dehumidifier (DEH) and regenerator (REG), which deteriorate the moisture efficiencies of the DEH and REG; (ii) considerable heat-cold offset occurs during solution exchanging between the DEH and REG. To avoid the driving force reversal phenomena, the system I with a pre-cooler/heater before the DEH/REG is proposed. The COPsys of the system I is 8.2%–15.0% greater than that of the conventional ICLD system, under variable conditions. To reduce the heat-cold offset to further improve the system performance, the system II is then proposed. In the proposed system II, 20% of the original DEH/REG is changed from the original internally-cooled type into the adiabatic type. The hybrid DEH and REG help to reduce the temperature difference between the outlet solutions of the DEH and REG, and thus, the heat-cold offset in the system is reduced. Consequently, COPsys of the proposed system II is 11.0%–19.5% greater than that of the conventional system, under variable conditions.