The efficacy of adoptive T-cell therapies based on chimaeric antigen receptors (CARs) is limited by the poor proliferation and persistence of the engineered T cells. Here we show that a subcutaneously injected biodegradable scaffold that facilitates the infiltration and egress of specific T-cell subpopulations, which forms a microenvironment mimicking features of physiological T-cell activation, enhances the antitumour activity of pre-administered CAR-T cells. CAR-T-cell expansion, differentiation and cytotoxicity were driven by the scaffold's incorporation of co-stimulatory bound ligands and soluble molecules, and depended on the types of co-stimulatory molecules and the context in which they were presented. In mice with aggressive lymphoma, a single, local injection of the scaffold following non-curative CAR-T-cell dosing led to more persistent memory-like T cells and extended animal survival. Injectable biomaterials with optimized ligand presentation may boost the therapeutic performance of CAR-T-cell therapies.