The dual-mode stabilization scheme has been demonstrated as an efficient way to stabilize laser frequency. In this study, we propose a novel dual-mode stabilization scheme that employs a sizable Fabry-Pérot cavity instead of the microcavity used in previous studies and has enabled higher bandwidth for locking. The results demonstrate a 30-fold reduction in laser frequency drift, with frequency instability below 169 kHz for integration time exceeding 1 h and a minimum value of 33.8 kHz at 54 min. Further improvement could be achieved by optimizing the phase locking. This scheme has potential for use in precision spectroscopic measurement.