The temperature-pressure cross-sensitivity problem in a frequency-modulated continuous-wave (FMCW) interference fiber pressure sensor is addressed in this study using a real-time temperature drift compensation method. The reference and pressure sensors are bonded and placed in the same temperature field. The temperature drift correction principle is evaluated using the relationship between the cavity length changes of the two sensors and the temperature. Further, the temperature drift of the pressure sensor is corrected in real-time using the temperature drift compensation method. The experimental results show that the pressure measurement error of the method decreases from 9.21% to 0.32% in the heating process, the pressure measurement error decreases from 3.33% to -0.24% in the cooling process, and the pressure drift of the pressure sensor is less than 0.1 kPa within 60 min of cooling. The temperature compensation method significantly improves the measurement accuracy of the FMCW interference fiber pressure sensor.