A well‐defined α,ω‐dialdehyde polyisoprene‐b‐polystyrene block copolymer, synthesized using anionic polymerization high‐vacuum techniques, is employed to prepare vitrimers with tris(2‐aminoethyl)amine as the cross‐linking agent. The vitrimer network, featuring dynamic imine cross‐links, results in robust, flexible, and solvent‐resistant films, which are applicable in thin film composite membranes. These vitrimer membranes, with molecular weight cut‐offs in the nanofiltration range, are successfully used for organic solvent separation and evaluated for gas separation. The cross‐linking density, controlled by the cross‐linker, affects the material's gas permeability and affinity for CO₂. The dynamic nature of the imine cross‐links enables the vitrimer's self‐healing ability, activated by heat treatment at temperatures as low as 50 °C. Additionally, the vitrimer membranes can be reprocessed through solvent dissolution in the presence of the excess cross‐linking agent.