Maintaining optimal vacuum conditions within the insulation pipes for superconducting cables is critical for ensuring the safe and stable operation. However, the continuous outgassing of the multilayer insulation (MLI) and support materials inside the vacuum jacket of the pipes leads to a degradation in insulation performance over time. Hydrogen, a primary component of the long-term outgassing, plays a significant role in this process. Despite its importance, there is a lack of comprehensive studies on the vacuum attenuation behavior within superconducting cable insulation pipes. This paper introduces a new lattice Boltzmann model to simulate the vacuum variation in the jacket of insulation pipes for superconducting cables. The model aims to provide a theoretical basis for the design, operation, and maintenance of superconducting cables, and offer insights into mitigating hydrogen embrittlement and enhancing insulation performance. The results demonstrate good agreement with finite difference method (FDM) results, underscoring the efficacy of the proposed lattice Boltzmann model in studying vacuum variations within superconducting cable insulation pipes.