The measurement of the tuning speed in fiber Bragg gratings is an increasingly important parameter for characterizing the dynamics of tunable devices. Optical spectrum analyzers and wavelength meters are not suitable due to their slow response for measuring the wavelength shift in time. In this paper we report on a technique for estimating the tuning speed of a fiber Bragg grating which is based on accessing the wavelength shift through a calibration curve and measuring the time in which the shift occurs with the help of a fast photo-detector.