A new approach called PreCorrector has been developed to enhance classical preconditioners for linear systems using neural networks.PreCorrector outperforms classical preconditioners like IC(0) and ICt(1) in constructing better preconditioners for complex linear systems.The neural design of PreCorrector improves efficiency and memory trade-off by achieving speed-ups compared to traditional preconditioners.The PreCorrector approach showcases good generalization across different grids and datasets, maintaining quality during transfers for inference.