Creep processes in halite (salt rock) include glide, cross-slip. difthsion and dynamic recrystallization. Diffusive Mass Transfer (DM1) can result in crack rehonding. and mechanical stiffness recovery. On the one hand, viscoplastic laws relating creep microscopic processes to microstructure changes are empirical. On the other hand, theoretical models of damage and healing disconnect thennodynamic variables from their physical meaning. The proposed model enriches the framework of Continuum Damage Mechanics (CDM) with fabric descriptors. In order to infer the Ibrin of fabric tensors from inicrostructure observation, creep tests were carried out on granular salt under constant stress and humidity conditions. A stress path comprising a tensile loading, a compressive unloading, a creep-healing stage and a reloading was simulated. Macroscopic and microscopic model predictions highlight the inetcascd efficiency of healing with time. A preliminaty Finite Element model illustrates the impact of healing on the stress distribution in the Excavation l)atnagc Zone (EDZ) The model presented in this paper is expected to improve the fundamental understanding of damage and healing in rocks at both macroscopic and microscopic levels., and the long-term assessment of geological storage facilities.