To accurately reflect the temperature jump phenomenon at the surrounding rock-lining interface, a new calculation method for thermal contact resistance was proposed. Based on the disc-model thermal contact resistance calculation, a rock thermal impedance evaluation coefficient was introduced as a function of the rock-mass basic quality index for different surrounding rocks. The accuracy of the proposed method was verified through numerical simulations and laboratory experiments. When the temperature was increased from 20 ℃ to 80 ℃, the interfacial thermal contact resistance between rock and concrete specimens decreased. As the surrounding rock grade declined and its quality deteriorated, the rock-mass basic quality index decreased. A higher thermal impedance evaluation coefficient resulted in a more pronounced increase in interfacial thermal contact resistance, with a maximum increase of 111.24%. The maximum relative error between the interfacial thermal contact resistance calculated using the proposed method and the theoretical results was 12.52%. Experimental results show that the proposed method takes into account the lithological factors of the surrounding rock. Compared with traditional methods, the proposed method features convenient parameter acquisition and strong engineering applicability.