The gas processing unit (GPU) has previously been identified as the least thermodynamically efficient element of an oxycombustion process. A marginal improvement of this unit operation can provide a greater decrease of the parasitic power to the oxycombustion process than an equivalent improvement in the air separation unit (ASU). Hence, capturing CO2 from oxycombustion using an alternative method than the conventional cryogenic process has potential to reduce the parasitic power consumption of the GPU. In this work, the authors present an initial evaluation of a new process concept; a hybrid oxycombustion process that uses a solvent-based GPU to capture CO2 from the flue gas. N-Ethyldiethanolamine (EDEA) is a tertiary alkanolamine that captures CO2 by forming a zwitterionic ammonium alkylcarbonate ionic liquid in the absence of water as a cosolvent. The new solvent-based GPU proposed herein demonstrates a clear potential to improve the net power efficiency by 1%, a 9% CAPEX reduction, and up to 5% LCOE reduction of an oxycombustion process if the price of EDEA is below $270/kg. Both lower CAPEX and the potential of reduced LCOE demonstrates that alternative CO2 capture methods for oxycombustion can be more economical.