In this work, a new version of the Large Pressure Jump (LPJ)method was proposed for studying the ad/desorption dynamics on representative pieces of a real “adsorber - heat exchanger” (AdHEx)for adsorptive heat storage and transformation (AHST). The core of the new approach is a direct measurement of the temperature difference ΔT of a heat carrier at the inlet and outlet of the tested AdHEx fragment. This difference is caused by a jump/drop of the adsorptive pressure which has initiated adsorption/desorption process. The measurements are carried out for the working pair “methanol - composite LiCl/silica” under typical conditions of a new cycle “Heat from Cold” (HeCol). The new Thermal Large Pressure Jump (T-LPJ)method is advanced as compared with the common V-LPJ version as it provides useful information on the heat exchanged between the adsorbent bed and the heat carrier fluid. Such information is not available from the V-LPJ method. The T-LPJ is simple in realization and resembles the common procedure for dynamic evaluation of real pressure-initiated AHST units. The suggested method was verified by comparison with results previously reported for a HeCol prototype with the same adsorbent and cycle boundary conditions.