A temperature sensor diagnostic system for a vehicle comprises a deviation calculation module, a limits determination module, and a fault diagnostic module. The deviation calculation module calculates a deviation coefficient based on a time constant of a temperature sensor and a period between first and second temperatures measured by the temperature sensor, wherein the second temperature is measured after the first temperature. The limits determination module determines upper and lower temperature limits based on the first temperature and the deviation coefficient. The fault diagnostic module selectively diagnoses a fault in the temperature sensor when the second temperature is one of greater than the upper temperature limit and less than the lower temperature limit.