Two Fabry-Perot interferometers were taken as double external cavities to construct a Double Filtered Optical Feedback Semiconductor Laser (DFOF-SL) for achieving chaotic signal with low time-delay signature, and the influences of feedback time, feedback strength, filter bandwidth, and the frequency detuning between the central frequency of the filter and the solitary laser on the time-delay signature evolution were theoretically investigated. The results show that, when the difference of the feedback time between the two external cavities approximately equals to a half of the relaxation oscillation period of the laser, the chaotic signal with relatively weak time-delay signature can be obtained. Moreover, through suitably selecting feedback strength, filter bandwidth, and the frequency detuning between the central frequency of the filter and the solitary laser, the time-delay signature can be further suppressed. Finally, based on the map of time-delay signature evolution in the parameter space of filter bandwidth and frequency detuning, the optimal feedback parameter regions for achieving chaotic signal with low time-delay signature have been determined.