Elastohydrodynamic lubrication (EHL) plays a crucial role in worm-drive tribology. However, in roller enveloping hourglass worm (REHW) drives, the unique rolling motion of the rollers reduces friction but presents challenges in accurately analyzing the film formation characteristics. To address this, a method for calculating the time-varying meshing characteristic parameters, considering the influence of the roller's self-rotation behavior, is proposed. A thermal EHL numerical model for REHW drives was established based on EHL theory by integrating these parameters. The lubrication characteristics at various meshing instants and contact positions were analyzed, and operational conditions and design parameters were identified to enhance lubrication performance. High-speed and heavy-load REHW drives have demonstrated superior lubrication performance. These findings provide theoretical guidance for optimizing lubrication performance and investigating wear in REHW drives.