A simple analytical procedure was developed to estimate the cooldown time between pulses of the Compact Ignition Tokamak (CIT) utilizing liquid nitrogen. Fairly good agreement was obtained between the analysis results and those measured in the early fusion experimental devices. The cooldown time between pulses in the CIT is controlled by the energy deposition in the inner leg of the TF coil. A cooldown time of less than 1 h is feasible. An R&D experimental program is required to determine the actual cooldown time between pulses since this would be considered an issue in the conceptual design of the CIT.