A temperature sensor for monitoring an organ or tissue is configured to measure a temperature inside of a container configured to contain the organ or tissue. The temperature sensor is disposed exterior to the organ container and the temperature sensor is a non-contact temperature sensor. The temperature sensor may be part of an apparatus for perfusing, transporting, and/or storing an organ or tissue. A coolant container may have an aperture through which the temperature sensor measures a temperature of at least one of the organ or tissue or a perfusate fluid surrounding the organ or tissue. The temperature sensor is preferably an infrared temperature sensor. Multiple temperature sensors may be provided that measure the temperature organ or tissue or perfusate fluid surrounding the organ or tissue, for example in case one of the temperature sensors fails.