Parasitic absorption of lower hybrid waves (LHWs) by fusion-born alpha particles can significantly impair lower-hybrid current-drive (LHCD) efficiency and modify the alpha-particle phase-space distribution in burning plasma. This study develops a linear analytical model to quantify alpha-particle parasitic absorption of LHWs for the China fusion engineering test reactor (CFETR). Analysis reveals that the absorption is highly sensitive to the edge plasma density, edge electron temperature, and wave frequency. The model predictions agree well with GENRAY simulations, as the shift of the parallel refractive index along the ray trajectory is small. For waves launched from the low-field side, which reach the electron damping region in a single pass, alpha-particle parasitic absorption may account for up to approximately 26% of the input power. In contrast, in top-launch scenarios, where waves undergo multiple passes through the edge plasma before entering the electron-damping region, parasitic absorption by alpha particles may exceed that by electrons. This model provides a fast and efficient tool for optimizing CFETR operation scenarios to mitigate deleterious alpha-particle parasitic absorption.