Systems and methods are provided for performing CO2 sorption and desorption using a sorbent structure with an integrated heat pump. The integrated heat pump can allow at least a portion of the heat generated during sorption to be recovered by forming steam from water. The steam raised during the sorption process can then be compressed and optionally heated to raise the temperature of the steam. The compressed and optionally heated steam can then be used as at least a portion of the steam for desorption of CO2 in the same sorbent bed or a different sorbent bed. By recovering the heat of sorption to raise steam, substantial energy savings can be achieved relative to a conventional process.