The characteristics of high elasticity and easy deformation of knitted fabrics present challenges for traditional continuous flat drying processes. Shrinkage, uneven drying and dye migration are common problems with these processes. To address those problem, a novel dual-heat-supply drying process for knitted fabrics is proposed, which combines the characteristics of hot air drying and cylinder drying. By establishing a mechanical model of the fabric microelement, the force conditions of the fabric during the drying process are analyzed to prevent the occurrence of shrinkage. Consider the structural attributes of knitted fabrics and the diverse forms of water, a foundational unit model for single-sided weft knitted fabrics is proposed. The effective thermal conductivity of wet knitted fabrics in three directions is calculated through numerical simulation, and the validity of this method is preliminarily verified by comparison with literature experiments. The thermal-humidity coupling model is utilized to develop finite element models of cylinder drying and dual-heat-supply drying, which are then employed to conduct a comparative analysis of the two drying processes. The accuracy of the simulation results is verified through experiments, with the maximum deviation being less than 3.3 %. The results demonstrate that in comparison to cylinder drying, the temperature differential between the upper and lower surfaces of the fabric(ΔT) in dual-heat-supply drying is diminished by approximately 5 K. Additionally, the critical saturation point is reached approximately 10 s earlier, which effectively reduces the proclivity of dye migration and enhances the efficiency of the drying process. Finally, three process parameters (v, Tout and Th) is optimized for the dual-heat-supply drying process, 63.68 % reduction in ΔT, thereby further enhancing the quality of the drying process. The dual-heat-supply drying process represents an effective and significant improvement in the quality of knitted fabrics.